In this notebook, we'll look into modelling implied trading within an exchange. Implied trading refers to ability to connect liquidity on strategy and outright order books (e.g. Euronext).

1 Type definitions and printers

1.1 Model type definitions

Our first goal is to setup the various type definitions that we'll use later on.

In [1]:
type side = BUY | SELL

type outright_id = OUT1 | OUT2 | OUT3
type strategy_id = STRAT1 | STRAT2
type month = Mar | Jun | Sep | Dec

(* Map an outright with an expiry *)
let contract_expiry = function
  | OUT1 -> Mar
  | OUT2 -> Jun
  | OUT3 -> Sep

(* Convert month to an integer *)
let month_to_int = function
  | Mar -> 3
  | Jun -> 6
  | Sep -> 9
  | Dec -> 12
;;

(* Return true of m1 is nearer (or equal) to m2 *)
let month_comp (m1 : month) (m2 : month) =
  (month_to_int m1) < (month_to_int  m2)
;;

type instrument =
  | Strategy of strategy_id
  | Outright of outright_id

(* Level information *)
type level_info = {
  li_qty : int
  ; li_price : int
}

(* best bid and ask information *)
type best_bid_ask = {
  bid_info : level_info option
  ; ask_info : level_info option
}

(* Best bid/ask for all of the books *)
type books_info = {
  book1 : best_bid_ask
  ; book2 : best_bid_ask
  ; book3 : best_bid_ask
}

(* Order type *)
type order = {
  o_qty : int
  ; o_price : int
  ; o_time : int
  ; o_id : int
  ; o_side : side
  ; o_client_id : int
  ; o_inst : instrument
  ; o_is_implied : bool
}

(* Helper function to make order creation simpler *)
let make si qty price id inst clientid isimp time =
  {o_qty = qty ; o_price = price; o_id = id; o_side = si;
   o_client_id = clientid; o_inst = inst; o_is_implied = isimp;
   o_time = time }


(* outright order book *)
type book = {
  b_buys : order list
  ; b_sells : order list
}

let empty_book = { b_buys = []; b_sells = [] }

(* Individual leg *)
type leg = {
  leg_sec_idx : outright_id
  ; leg_mult : int
}

(* Strategy is composed of legs *)
type strategy = {
  time_created : int
  ; leg1 : leg
  ; leg2 : leg
  ; leg3 : leg
}

(* Helper function to make strategy creation smaller *)
let make_strat tcreated m1 m2 m3 = {
  time_created = tcreated
  ; leg1 = { leg_sec_idx = OUT1; leg_mult = m1 }
  ; leg2 = { leg_sec_idx = OUT2; leg_mult = m2 }
  ; leg3 = { leg_sec_idx = OUT3; leg_mult = m3 }
}

type implied_strat_ord = {
  max_strat : int option
  ; strat_price : int option
}

(* New order message *)
type new_ord_msg = {
  no_client_id : int
  ; no_inst_type : instrument
  ; no_qty : int
  ; no_side : side
  ; no_price : int
}

(* cancel order ID *)
type cancel_ord_msg = {
  co_client_id : int
  ; co_order_id : int
  ; co_instrument : instrument
  ; co_side : side
}

(* Inbound messages type *)
type inbound_msg =
  | NewOrder of new_ord_msg
  | CancelOrder of cancel_ord_msg
  | ImpliedUncross

(* Helper function for creating new order messages *)
let make_no_msg cid inst qty sd p =
 NewOrder {
  no_client_id = cid
  ; no_inst_type = inst
  ; no_qty = qty
  ; no_side = sd
  ; no_price = p
 }

(* ack message *)
type ack_msg = {
  ack_client_id : int
  ; ack_order_id : int
  ; ack_inst_type : instrument
  ; ack_qty : int
  ; ack_side : side
  ; ack_price : int
}

(* fill information *)
type fill = {
  fill_client_id : int
  ; fill_qty : int
  ; fill_price : int
  ; fill_order_id : int
  ; fill_order_done : bool
}

(* uncross result *)
type uncross_res = {
  uncrossed_book : book
  ; uncrossed_fills : fill list
  ; uncrossed_qty : int
}

(* outbound message type *)
type outbound_msg =
  | Ack of ack_msg
  | Fill of fill
  | UncrossResult of uncross_res
;;

(* The entire market - strategy definitions, order books, messages, etc. s*)
type market = {

  (* current time*)
  curr_time : int

  (* used for order ID counter *)
  ; last_ord_id : int

  (* two strategy definitions *)
  ; strat1    : strategy
  ; strat2    : strategy

  (* outright books *)
  ; out_book1 : book
  ; out_book2 : book
  ; out_book3 : book

  (* strategy books *)
  ; s_book1   : book
  ; s_book2   : book

  (* inbound and outbound message queues *)
  ; inbound_msgs  : inbound_msg list
  ; outbound_msgs : outbound_msg list

}
Out[1]:
type side = BUY | SELL
type outright_id = OUT1 | OUT2 | OUT3
type strategy_id = STRAT1 | STRAT2
type month = Mar | Jun | Sep | Dec
val contract_expiry : outright_id -> month = <fun>
val month_to_int : month -> Z.t = <fun>
val month_comp : month -> month -> bool = <fun>
type instrument = Strategy of strategy_id | Outright of outright_id
type level_info = { li_qty : Z.t; li_price : Z.t; }
type best_bid_ask = {
  bid_info : level_info option;
  ask_info : level_info option;
}
type books_info = {
  book1 : best_bid_ask;
  book2 : best_bid_ask;
  book3 : best_bid_ask;
}
type order = {
  o_qty : Z.t;
  o_price : Z.t;
  o_time : Z.t;
  o_id : Z.t;
  o_side : side;
  o_client_id : Z.t;
  o_inst : instrument;
  o_is_implied : bool;
}
val make :
  side -> Z.t -> Z.t -> Z.t -> instrument -> Z.t -> bool -> Z.t -> order =
  <fun>
type book = { b_buys : order list; b_sells : order list; }
val empty_book : book = {b_buys = []; b_sells = []}
type leg = { leg_sec_idx : outright_id; leg_mult : Z.t; }
type strategy = { time_created : Z.t; leg1 : leg; leg2 : leg; leg3 : leg; }
val make_strat : Z.t -> Z.t -> Z.t -> Z.t -> strategy = <fun>
type implied_strat_ord = {
  max_strat : Z.t option;
  strat_price : Z.t option;
}
type new_ord_msg = {
  no_client_id : Z.t;
  no_inst_type : instrument;
  no_qty : Z.t;
  no_side : side;
  no_price : Z.t;
}
type cancel_ord_msg = {
  co_client_id : Z.t;
  co_order_id : Z.t;
  co_instrument : instrument;
  co_side : side;
}
type inbound_msg =
    NewOrder of new_ord_msg
  | CancelOrder of cancel_ord_msg
  | ImpliedUncross
val make_no_msg : Z.t -> instrument -> Z.t -> side -> Z.t -> inbound_msg =
  <fun>
type ack_msg = {
  ack_client_id : Z.t;
  ack_order_id : Z.t;
  ack_inst_type : instrument;
  ack_qty : Z.t;
  ack_side : side;
  ack_price : Z.t;
}
type fill = {
  fill_client_id : Z.t;
  fill_qty : Z.t;
  fill_price : Z.t;
  fill_order_id : Z.t;
  fill_order_done : bool;
}
type uncross_res = {
  uncrossed_book : book;
  uncrossed_fills : fill list;
  uncrossed_qty : Z.t;
}
type outbound_msg =
    Ack of ack_msg
  | Fill of fill
  | UncrossResult of uncross_res
type market = {
  curr_time : Z.t;
  last_ord_id : Z.t;
  strat1 : strategy;
  strat2 : strategy;
  out_book1 : book;
  out_book2 : book;
  out_book3 : book;
  s_book1 : book;
  s_book2 : book;
  inbound_msgs : inbound_msg list;
  outbound_msgs : outbound_msg list;
}

1.2 Custom type printers

One of Imandra's powerful features is the ability to combine logic (pure subset of OCaml) and program (all of OCaml) modes. In the following cell, we will create and install a custom type printer (HTML) for an order book. So that next time a value of this type is computed within a cell, this printer would be used instead of the generic one.

In [2]:
(* Here's an example of a custom printer that we can install for arbitrary data types. *)

#program;;
#require "tyxml";;
let html_of_order (o : order) =
  let module H = Tyxml.Html in
  H.div
  ~a:(if o.o_is_implied then [H.a_style "color: red"] else [])
  [ H.div
    ~a:[H.a_style "font-size: 1.4em"]
    [H.txt (Format.asprintf "%s (%s)" (Z.to_string o.o_price) (Z.to_string o.o_qty))]
  ; H.div (if o.o_is_implied then [H.txt "Implied"] else [])
  ]

let html elt =
  let module H = Tyxml.Html in
  Document.html (Document.Unsafe_.html_of_string @@ CCFormat.sprintf "%a" (H.pp_elt ()) elt);;

let doc_of_order (o:order) =
  let module H = Tyxml.Html in
  html (H.div [html_of_order o]);;

#install_doc doc_of_order;;

let html_of_book ?(title="") (b: book) =
  let module H = Tyxml.Html in
  let rec build_rows acc buys sells =
      match buys, sells with
      | b :: bs, s :: ss -> build_rows (acc @ [H.tr [H.td [html_of_order b]; H.td [html_of_order s]]]) bs ss
      | b :: bs, [] -> build_rows (acc @ [H.tr [H.td [html_of_order b]; H.td [H.txt "-"]]]) bs []
      | [], s :: ss -> build_rows (acc @ [H.tr [H.td [H.txt "-"]; H.td [html_of_order s]]]) [] ss
      | [], [] -> acc
  in
  H.div
  ~a:[H.a_style "margin-right:1em; display: flex; flex-direction: column; align-items: center; justify-content: flex-start"]
  [ H.div ~a:[H.a_style "font-weight: bold"] [H.txt title]
  ; H.table
    ~thead:(H.thead [H.tr [H.th [H.txt "Buys"]; H.th [H.txt "Sells"]]])
    (build_rows [] b.b_buys b.b_sells)]

let doc_of_book (b:book) =
  let module H = Tyxml.Html in
  html (H.div [html_of_book ~title:"M1 Mar21" b]);;

#install_doc doc_of_book;;

let html_of_market (m: market) =
  let module H = Tyxml.Html in
  H.div
  [ H.div ~a:[H.a_style "display: flex"]
    [ html_of_book ~title:"Strategy 1" m.s_book1
    ; html_of_book ~title:"Strategy 2" m.s_book2
    ]
  ; H.div ~a:[H.a_style "margin-top: 1em; display: flex"]
    [ html_of_book ~title:"Book 1" m.out_book1
    ; html_of_book ~title:"Book 2" m.out_book2
    ; html_of_book ~title:"Book 3" m.out_book3
    ]]

let doc_of_market (m : market) =
  html (html_of_market m);;

#install_doc doc_of_market;;

#logic;;
Out[2]:
/usr/local/var/imandra/_opam/lib/uutf: added to search path
/usr/local/var/imandra/_opam/lib/uutf/uutf.cma: loaded
/usr/local/var/imandra/_opam/lib/tyxml/functor: added to search path
/usr/local/var/imandra/_opam/lib/tyxml/functor/tyxml_f.cma: loaded
/usr/local/var/imandra/_opam/lib/tyxml: added to search path
/usr/local/var/imandra/_opam/lib/tyxml/tyxml.cma: loaded
- : unit = ()
val html_of_order : order -> [> Html_types.div ] Tyxml_html.elt = <fun>
val html : 'a Tyxml_html.elt -> Document.t = <fun>
val doc_of_order : order -> Document.t = <fun>
val html_of_book :
  ?title:string -> book -> [> Html_types.div ] Tyxml_html.elt = <fun>
val doc_of_book : book -> Document.t = <fun>
val html_of_market : market -> [> Html_types.div ] Tyxml_html.elt = <fun>
val doc_of_market : market -> Document.t = <fun>

1.3 Custom type printer example

In [3]:
let leg = { leg_sec_idx = OUT1; leg_mult = 1 } in

let strat = { time_created = 0; leg1 = leg; leg2 = leg; leg3 = leg } in

let b1 = {
  b_buys = [
    (make BUY 100 54 1 (Outright OUT1) 1 true 1)
    ;(make BUY 100 54 2 (Outright OUT1) 1 false 1)
  ]
  ; b_sells = [
    (make SELL 100 54 3 (Outright OUT1) 1 false 1)
    ;(make SELL 100 54 4 (Outright OUT1) 1 false 1)
  ] } in

  { curr_time = 1
  ; last_ord_id = 1
  ; strat1 = strat
  ; strat2 = strat
  ; out_book1 = b1
  ; out_book2 = b1
  ; out_book3 = b1
  ; s_book1 = b1
  ; s_book2 = b1
  ; inbound_msgs = []
  ; outbound_msgs = []
  }
Out[3]:
- : market = <document>
Strategy 1
BuysSells
54 (100)
Implied
54 (100)
54 (100)
54 (100)
Strategy 2
BuysSells
54 (100)
Implied
54 (100)
54 (100)
54 (100)
Book 1
BuysSells
54 (100)
Implied
54 (100)
54 (100)
54 (100)
Book 2
BuysSells
54 (100)
Implied
54 (100)
54 (100)
54 (100)
Book 3
BuysSells
54 (100)
Implied
54 (100)
54 (100)
54 (100)

2. Outright uncrossing logic

2.1 Order book operatons (inserting, cancelling orders)

In [4]:
(* Convert fills into outbound messages *)
let rec create_fill_msgs (f : fill list) =
  match f with
  | [] -> []
  | x::xs -> (Fill x) :: create_fill_msgs xs

(* TODO: recode this with higher-order functions *)
let rec cancel_ord_side (orders : order list) (c : cancel_ord_msg) =
  match orders with
  | [] -> []
  | x::xs ->
    begin
      if (x.o_client_id = c.co_client_id) && (x.o_id = c.co_order_id) then xs
      else x :: (cancel_ord_side xs c)
    end

(* Helper to cancel orders *)
let cancel_ord_book (co : cancel_ord_msg) (b : book) =
  match co.co_side with
  | BUY -> { b with b_buys = (cancel_ord_side b.b_buys co) }
  | SELL -> { b with b_sells = (cancel_ord_side b.b_sells co) }

(* function used insert individual orders *)
let rec insert_order_side (orders : order list) (o : order) =
  match orders with
  | [] -> [ o ]
  | x::xs ->
    begin
      if o.o_side = BUY then
        (if o.o_price > x.o_price then o :: orders else x :: (insert_order_side xs o))
      else
        (if o.o_price < x.o_price then o :: orders else x :: (insert_order_side xs o))
    end

(* insert order into the book *)
let insert_order (o : order) (b : book) =
  if o.o_side = BUY then
    { b with b_buys = (insert_order_side b.b_buys o) }
  else
    { b with b_sells = (insert_order_side b.b_sells o) }

(* The fills are adjusted to a single fill price during the uncross *)
let rec adjust_fill_prices (fills : fill list) ( f_price : int ) =
  match fills with
  | [] -> []
  | x::xs -> { x with fill_price = f_price } :: ( adjust_fill_prices xs f_price )
;;
Out[4]:
val create_fill_msgs : fill list -> outbound_msg list = <fun>
val cancel_ord_side : order list -> cancel_ord_msg -> order list = <fun>
val cancel_ord_book : cancel_ord_msg -> book -> book = <fun>
val insert_order_side : order list -> order -> order list = <fun>
val insert_order : order -> book -> book = <fun>
val adjust_fill_prices : fill list -> Z.t -> fill list = <fun>
termination proof

Termination proof

call `create_fill_msgs (List.tl f)` from `create_fill_msgs f`
original:create_fill_msgs f
sub:create_fill_msgs (List.tl f)
original ordinal:Ordinal.Int (_cnt f)
sub ordinal:Ordinal.Int (_cnt (List.tl f))
path:[f <> []]
proof:
detailed proof
ground_instances:3
definitions:0
inductions:0
search_time:
0.020s
details:
Expand
smt_stats:
num checks:8
arith assert lower:21
arith tableau max rows:11
arith tableau max columns:36
arith pivots:14
rlimit count:3415
mk clause:49
datatype occurs check:22
mk bool var:119
arith assert upper:16
datatype splits:3
decisions:27
arith row summations:25
propagations:37
conflicts:10
arith fixed eqs:9
datatype accessor ax:10
arith conflicts:2
arith num rows:11
datatype constructor ax:11
num allocs:690619
final checks:6
added eqs:80
del clause:19
arith eq adapter:14
memory:5.200000
max memory:5.200000
Expand
  • start[0.020s]
      let (_x_0 : int) = count.list count.fill f in
      let (_x_1 : fill list) = List.tl f in
      let (_x_2 : int) = count.list count.fill _x_1 in
      f <> [] && _x_0 >= 0 && _x_2 >= 0
      ==> not (_x_1 <> [])
          || Ordinal.( << ) (Ordinal.Int _x_2) (Ordinal.Int _x_0)
  • simplify
    into:
    let (_x_0 : fill list) = List.tl f in
    let (_x_1 : int) = count.list count.fill _x_0 in
    let (_x_2 : int) = count.list count.fill f in
    (not (_x_0 <> []) || Ordinal.( << ) (Ordinal.Int _x_1) (Ordinal.Int _x_2))
    || not ((f <> [] && _x_2 >= 0) && _x_1 >= 0)
    expansions:
    []
    rewrite_steps:
      forward_chaining:
      • unroll
        expr:
        (|Ordinal.<<_129/client|
          (|Ordinal.Int_114/client|
            (|count.list_1898/server| (|get.::.1_1872/s…
        expansions:
        • unroll
          expr:
          (|count.list_1898/server| (|get.::.1_1872/server| f_1887/server))
          expansions:
          • unroll
            expr:
            (|count.list_1898/server| f_1887/server)
            expansions:
            • Unsat
            termination proof

            Termination proof

            call `cancel_ord_side (List.tl orders) c` from `cancel_ord_side orders c`
            original:cancel_ord_side orders c
            sub:cancel_ord_side (List.tl orders) c
            original ordinal:Ordinal.Int (_cnt orders)
            sub ordinal:Ordinal.Int (_cnt (List.tl orders))
            path:[let (_x_0 : order) = List.hd orders in not (_x_0.o_client_id = c.co_client_id && _x_0.o_id = c.co_order_id) && orders <> []]
            proof:
            detailed proof
            ground_instances:2
            definitions:0
            inductions:0
            search_time:
            0.013s
            details:
            Expand
            smt_stats:
            num checks:6
            arith assert lower:35
            arith tableau max rows:10
            arith tableau max columns:27
            arith pivots:22
            rlimit count:7764
            mk clause:47
            datatype occurs check:19
            mk bool var:233
            arith assert upper:18
            datatype splits:46
            decisions:50
            arith row summations:25
            propagations:37
            conflicts:8
            arith fixed eqs:16
            datatype accessor ax:30
            minimized lits:1
            arith conflicts:2
            arith num rows:10
            arith assert diseq:1
            datatype constructor ax:61
            num allocs:2604151
            final checks:4
            added eqs:286
            del clause:20
            arith eq adapter:20
            memory:5.340000
            max memory:5.340000
            Expand
            • start[0.013s]
                let (_x_0 : order) = List.hd orders in
                let (_x_1 : int) = c.co_client_id in
                let (_x_2 : int) = c.co_order_id in
                let (_x_3 : int) = count.list count.order orders in
                let (_x_4 : order list) = List.tl orders in
                let (_x_5 : int) = count.list count.order _x_4 in
                let (_x_6 : order) = List.hd _x_4 in
                not (_x_0.o_client_id = _x_1 && _x_0.o_id = _x_2)
                && orders <> [] && _x_3 >= 0 && _x_5 >= 0
                ==> not (not (_x_6.o_client_id = _x_1 && _x_6.o_id = _x_2) && _x_4 <> [])
                    || Ordinal.( << ) (Ordinal.Int _x_5) (Ordinal.Int _x_3)
            • simplify
              into:
              let (_x_0 : order list) = List.tl orders in
              let (_x_1 : order) = List.hd _x_0 in
              let (_x_2 : int) = c.co_client_id in
              let (_x_3 : int) = c.co_order_id in
              let (_x_4 : order) = List.hd orders in
              let (_x_5 : int) = count.list count.order orders in
              let (_x_6 : int) = count.list count.order _x_0 in
              (not (not (_x_1.o_client_id = _x_2 && _x_1.o_id = _x_3) && _x_0 <> [])
               || not
                  (((not (_x_4.o_client_id = _x_2 && _x_4.o_id = _x_3) && orders <> [])
                    && _x_5 >= 0)
                   && _x_6 >= 0))
              || Ordinal.( << ) (Ordinal.Int _x_6) (Ordinal.Int _x_5)
              expansions:
              []
              rewrite_steps:
                forward_chaining:
                • unroll
                  expr:
                  (|count.list_1937/server| orders_1928/server)
                  expansions:
                  • unroll
                    expr:
                    (|Ordinal.<<_129/client|
                      (|Ordinal.Int_114/client|
                        (|count.list_1937/server| (|get.::.1_1846/s…
                    expansions:
                    • Unsat
                    termination proof

                    Termination proof

                    call `insert_order_side (List.tl orders) o` from `insert_order_side orders o`
                    original:insert_order_side orders o
                    sub:insert_order_side (List.tl orders) o
                    original ordinal:Ordinal.Int (_cnt orders)
                    sub ordinal:Ordinal.Int (_cnt (List.tl orders))
                    path:[not (o.o_price > (List.hd orders).o_price) && o.o_side = BUY && orders <> []]
                    proof:
                    detailed proof
                    ground_instances:3
                    definitions:0
                    inductions:0
                    search_time:
                    0.012s
                    details:
                    Expand
                    smt_stats:
                    num checks:8
                    arith assert lower:56
                    arith tableau max rows:22
                    arith tableau max columns:53
                    arith pivots:48
                    rlimit count:24634
                    mk clause:84
                    datatype occurs check:41
                    mk bool var:331
                    arith assert upper:42
                    datatype splits:55
                    decisions:86
                    arith row summations:114
                    propagations:80
                    interface eqs:2
                    conflicts:10
                    arith fixed eqs:27
                    arith assume eqs:2
                    datatype accessor ax:34
                    arith conflicts:2
                    arith num rows:22
                    datatype constructor ax:81
                    num allocs:10554321
                    final checks:8
                    added eqs:408
                    del clause:47
                    arith eq adapter:35
                    memory:5.510000
                    max memory:5.560000
                    Expand
                    • start[0.012s]
                        let (_x_0 : int) = o.o_price in
                        let (_x_1 : bool) = o.o_side = BUY in
                        let (_x_2 : int) = count.list count.order orders in
                        let (_x_3 : order list) = List.tl orders in
                        let (_x_4 : int) = count.list count.order _x_3 in
                        let (_x_5 : int) = (List.hd _x_3).o_price in
                        let (_x_6 : bool) = _x_3 <> [] in
                        not (_x_0 > (List.hd orders).o_price)
                        && _x_1 && orders <> [] && _x_2 >= 0 && _x_4 >= 0
                        ==> not (not (_x_0 > _x_5) && _x_1 && _x_6)
                            && not (not (_x_0 < _x_5) && not _x_1 && _x_6)
                            || Ordinal.( << ) (Ordinal.Int _x_4) (Ordinal.Int _x_2)
                    • simplify
                      into:
                      let (_x_0 : int) = o.o_price in
                      let (_x_1 : bool) = o.o_side = BUY in
                      let (_x_2 : int) = count.list count.order orders in
                      let (_x_3 : order list) = List.tl orders in
                      let (_x_4 : int) = count.list count.order _x_3 in
                      let (_x_5 : int) = (List.hd _x_3).o_price in
                      let (_x_6 : bool) = _x_3 <> [] in
                      (not
                       ((((_x_0 <= (List.hd orders).o_price && _x_1) && orders <> []) && _x_2 >= 0)
                        && _x_4 >= 0)
                       || not ((_x_0 <= _x_5 && _x_1) && _x_6)
                          && not ((_x_5 <= _x_0 && not _x_1) && _x_6))
                      || Ordinal.( << ) (Ordinal.Int _x_4) (Ordinal.Int _x_2)
                      expansions:
                      []
                      rewrite_steps:
                        forward_chaining:
                        • unroll
                          expr:
                          (|count.list_1937/server| (|get.::.1_1846/server| orders_1994/server))
                          expansions:
                          • unroll
                            expr:
                            (|count.list_1937/server| orders_1994/server)
                            expansions:
                            • unroll
                              expr:
                              (|Ordinal.<<_129/client|
                                (|Ordinal.Int_114/client|
                                  (|count.list_1937/server| (|get.::.1_1846/s…
                              expansions:
                              • Unsat
                              call `insert_order_side (List.tl orders) o` from `insert_order_side orders o`
                              original:insert_order_side orders o
                              sub:insert_order_side (List.tl orders) o
                              original ordinal:Ordinal.Int (_cnt orders)
                              sub ordinal:Ordinal.Int (_cnt (List.tl orders))
                              path:[not (o.o_price < (List.hd orders).o_price) && not (o.o_side = BUY) && orders <> []]
                              proof:
                              detailed proof
                              ground_instances:3
                              definitions:0
                              inductions:0
                              search_time:
                              0.015s
                              details:
                              Expand
                              smt_stats:
                              num checks:8
                              arith assert lower:52
                              arith tableau max rows:23
                              arith tableau max columns:54
                              arith pivots:50
                              rlimit count:15490
                              mk clause:75
                              datatype occurs check:45
                              mk bool var:349
                              arith assert upper:30
                              datatype splits:67
                              decisions:82
                              arith row summations:69
                              propagations:75
                              interface eqs:2
                              conflicts:10
                              arith fixed eqs:27
                              arith assume eqs:2
                              datatype accessor ax:41
                              arith conflicts:2
                              arith num rows:23
                              datatype constructor ax:93
                              num allocs:5930395
                              final checks:8
                              added eqs:444
                              del clause:39
                              arith eq adapter:30
                              memory:5.560000
                              max memory:5.560000
                              Expand
                              • start[0.015s]
                                  let (_x_0 : int) = o.o_price in
                                  let (_x_1 : bool) = o.o_side = BUY in
                                  let (_x_2 : bool) = not _x_1 in
                                  let (_x_3 : int) = count.list count.order orders in
                                  let (_x_4 : order list) = List.tl orders in
                                  let (_x_5 : int) = count.list count.order _x_4 in
                                  let (_x_6 : int) = (List.hd _x_4).o_price in
                                  let (_x_7 : bool) = _x_4 <> [] in
                                  not (_x_0 < (List.hd orders).o_price)
                                  && _x_2 && orders <> [] && _x_3 >= 0 && _x_5 >= 0
                                  ==> not (not (_x_0 > _x_6) && _x_1 && _x_7)
                                      && not (not (_x_0 < _x_6) && _x_2 && _x_7)
                                      || Ordinal.( << ) (Ordinal.Int _x_5) (Ordinal.Int _x_3)
                              • simplify
                                into:
                                let (_x_0 : int) = o.o_price in
                                let (_x_1 : bool) = o.o_side = BUY in
                                let (_x_2 : bool) = not _x_1 in
                                let (_x_3 : int) = count.list count.order orders in
                                let (_x_4 : order list) = List.tl orders in
                                let (_x_5 : int) = count.list count.order _x_4 in
                                let (_x_6 : int) = (List.hd _x_4).o_price in
                                let (_x_7 : bool) = _x_4 <> [] in
                                (not
                                 (((((List.hd orders).o_price <= _x_0 && _x_2) && orders <> []) && _x_3 >= 0)
                                  && _x_5 >= 0)
                                 || not ((_x_0 <= _x_6 && _x_1) && _x_7)
                                    && not ((_x_6 <= _x_0 && _x_2) && _x_7))
                                || Ordinal.( << ) (Ordinal.Int _x_5) (Ordinal.Int _x_3)
                                expansions:
                                []
                                rewrite_steps:
                                  forward_chaining:
                                  • unroll
                                    expr:
                                    (|count.list_1937/server| (|get.::.1_1846/server| orders_1994/server))
                                    expansions:
                                    • unroll
                                      expr:
                                      (|count.list_1937/server| orders_1994/server)
                                      expansions:
                                      • unroll
                                        expr:
                                        (|Ordinal.<<_129/client|
                                          (|Ordinal.Int_114/client|
                                            (|count.list_1937/server| (|get.::.1_1846/s…
                                        expansions:
                                        • Unsat
                                        termination proof

                                        Termination proof

                                        call `adjust_fill_prices (List.tl fills) f_price` from `adjust_fill_prices fills f_price`
                                        original:adjust_fill_prices fills f_price
                                        sub:adjust_fill_prices (List.tl fills) f_price
                                        original ordinal:Ordinal.Int (_cnt fills)
                                        sub ordinal:Ordinal.Int (_cnt (List.tl fills))
                                        path:[fills <> []]
                                        proof:
                                        detailed proof
                                        ground_instances:3
                                        definitions:0
                                        inductions:0
                                        search_time:
                                        0.012s
                                        details:
                                        Expand
                                        smt_stats:
                                        num checks:8
                                        arith assert lower:42
                                        arith tableau max rows:17
                                        arith tableau max columns:42
                                        arith pivots:33
                                        rlimit count:30595
                                        mk clause:62
                                        datatype occurs check:29
                                        mk bool var:143
                                        arith assert upper:31
                                        datatype splits:3
                                        decisions:49
                                        arith row summations:102
                                        propagations:55
                                        conflicts:12
                                        arith fixed eqs:19
                                        datatype accessor ax:9
                                        arith conflicts:2
                                        arith num rows:17
                                        datatype constructor ax:11
                                        num allocs:16284531
                                        final checks:6
                                        added eqs:102
                                        del clause:35
                                        arith eq adapter:27
                                        memory:5.420000
                                        max memory:5.560000
                                        Expand
                                        • start[0.012s]
                                            let (_x_0 : int) = count.list count.fill fills in
                                            let (_x_1 : fill list) = List.tl fills in
                                            let (_x_2 : int) = count.list count.fill _x_1 in
                                            fills <> [] && _x_0 >= 0 && _x_2 >= 0
                                            ==> not (_x_1 <> [])
                                                || Ordinal.( << ) (Ordinal.Int _x_2) (Ordinal.Int _x_0)
                                        • simplify
                                          into:
                                          let (_x_0 : int) = count.list count.fill fills in
                                          let (_x_1 : fill list) = List.tl fills in
                                          let (_x_2 : int) = count.list count.fill _x_1 in
                                          (not ((fills <> [] && _x_0 >= 0) && _x_2 >= 0)
                                           || Ordinal.( << ) (Ordinal.Int _x_2) (Ordinal.Int _x_0))
                                          || not (_x_1 <> [])
                                          expansions:
                                          []
                                          rewrite_steps:
                                            forward_chaining:
                                            • unroll
                                              expr:
                                              (|count.list_1898/server| (|get.::.1_1872/server| fills_2114/server))
                                              expansions:
                                              • unroll
                                                expr:
                                                (|count.list_1898/server| fills_2114/server)
                                                expansions:
                                                • unroll
                                                  expr:
                                                  (|Ordinal.<<_129/client|
                                                    (|Ordinal.Int_114/client|
                                                      (|count.list_1898/server| (|get.::.1_1872/s…
                                                  expansions:
                                                  • Unsat

                                                  2.2 Book uncross

                                                  In [5]:
                                                  (* Measure for proving termination of `uncross_book` below *)
                                                  let book_measure b =
                                                    Ordinal.of_int (List.length b.b_buys + List.length b.b_sells)
                                                  
                                                  let rec uncross_book (b : book) (fills : fill list) (filled_qty : int) =
                                                    match b.b_buys, b.b_sells with
                                                    | [], [] | _, [] | [], _ ->
                                                      (* we need to check whether there have been fills before,
                                                        if so we need to adjust fill prices before getting out *)
                                                      begin
                                                        match fills with
                                                        | [] -> { uncrossed_book = b; uncrossed_fills = fills; uncrossed_qty = filled_qty }
                                                        | x::xs ->
                                                          let fills' = x :: (adjust_fill_prices xs x.fill_price) in
                                                        { uncrossed_book = b; uncrossed_fills = fills'; uncrossed_qty = filled_qty }
                                                      end
                                                    | buy::bs, sell::ss ->
                                                      if buy.o_price >= sell.o_price then
                                                        begin
                                                          (* compute the fill qty and price *)
                                                          let fill_qty = if buy.o_qty < sell.o_qty then buy.o_qty else sell.o_qty in
                                                          let fill_price = (buy.o_price + sell.o_price) / 2 in
                                                  
                                                          (* update the orders that traded *)
                                                          let buy' = { buy with o_qty = buy.o_qty - fill_qty } in
                                                          let sell' = { sell with o_qty = sell.o_qty - fill_qty } in
                                                  
                                                          (* create the fills *)
                                                          let fill1 = {
                                                            fill_client_id = buy.o_client_id
                                                            ; fill_qty = fill_qty
                                                            ; fill_price = fill_price
                                                            ; fill_order_id = buy.o_id
                                                            ; fill_order_done = true } in
                                                  
                                                          let fill2 = {
                                                            fill_client_id = sell.o_client_id
                                                            ; fill_qty = fill_qty
                                                            ; fill_price = fill_price
                                                            ; fill_order_id = sell.o_id
                                                            ; fill_order_done = true } in
                                                  
                                                          (* now update the books and fills *)
                                                          let new_buys = if buy'.o_qty = 0 then bs else buy'::bs in
                                                          let new_sells = if sell'.o_qty = 0 then ss else sell'::ss in
                                                          let b' = {
                                                            b_buys = new_buys
                                                            ; b_sells = new_sells } in
                                                  
                                                          (* We should not be generating fills for implied orders - there's
                                                            a different mechanism for that *)
                                                          let fills' = if not buy.o_is_implied then
                                                            fill1 :: fills else fills in
                                                          let fills' = if not sell.o_is_implied then
                                                            fill2 :: fills' else fills' in
                                                  
                                                          (* recursively go to the next level *)
                                                          uncross_book b' fills' (filled_qty + fill_qty)
                                                        end
                                                  
                                                      else
                                                        (* nothing to do here *)
                                                        { uncrossed_book = b; uncrossed_fills = fills; uncrossed_qty = filled_qty }
                                                  [@@measure book_measure b]
                                                  ;;
                                                  
                                                  Out[5]:
                                                  val book_measure : book -> Ordinal.t = <fun>
                                                  val uncross_book : book -> fill list -> Z.t -> uncross_res = <fun>
                                                  
                                                  termination proof

                                                  Termination proof

                                                  call `let (_x_0 : order list) = b.b_buys in let (_x_1 : order) = List.hd _x_0 in let (_x_2 : int) = _x_1.o_qty in let (_x_3 : order list) = b.b_sells in let (_x_4 : order) = List.hd _x_3 in let (_x_5 : int) = _x_4.o_qty in let (_x_6 : int) = if _x_2 < _x_5 then _x_2 else _x_5 in let (_x_7 : int) = _x_2 - _x_6 in let (_x_8 : order list) = List.tl _x_0 in let (_x_9 : int) = _x_5 - _x_6 in let (_x_10 : order list) = List.tl _x_3 in let (_x_11 : int) = (_x_1.o_price + _x_4.o_price) / 2 in let (_x_12 : fill list) = if not _x_1.o_is_implied then {fill_client_id = _x_1.o_client_id; fill_qty = _x_6; fill_price = _x_11; fill_order_id = _x_1.o_id; fill_order_done = true} :: fills else fills in uncross_book {b_buys = if _x_7 = 0 then _x_8 else {_x_1 with o_qty = _x_7} :: _x_8; b_sells = if _x_9 = 0 then _x_10 else {_x_4 with o_qty = _x_9} :: _x_10} (if not _x_4.o_is_implied then {fill_client_id = _x_4.o_client_id; fill_qty = _x_6; fill_price = _x_11; fill_order_id = _x_4.o_id; fill_order_done = true} :: _x_12 else _x_12) (filled_qty + _x_6)` from `uncross_book b fills filled_qty`
                                                  original:uncross_book b fills filled_qty
                                                  sub:let (_x_0 : order list) = b.b_buys in let (_x_1 : order) = List.hd _x_0 in let (_x_2 : int) = _x_1.o_qty in let (_x_3 : order list) = b.b_sells in let (_x_4 : order) = List.hd _x_3 in let (_x_5 : int) = _x_4.o_qty in let (_x_6 : int) = if _x_2 < _x_5 then _x_2 else _x_5 in let (_x_7 : int) = _x_2 - _x_6 in let (_x_8 : order list) = List.tl _x_0 in let (_x_9 : int) = _x_5 - _x_6 in let (_x_10 : order list) = List.tl _x_3 in let (_x_11 : int) = (_x_1.o_price + _x_4.o_price) / 2 in let (_x_12 : fill list) = if not _x_1.o_is_implied then {fill_client_id = _x_1.o_client_id; fill_qty = _x_6; fill_price = _x_11; fill_order_id = _x_1.o_id; fill_order_done = true} :: fills else fills in uncross_book {b_buys = if _x_7 = 0 then _x_8 else {_x_1 with o_qty = _x_7} :: _x_8; b_sells = if _x_9 = 0 then _x_10 else {_x_4 with o_qty = _x_9} :: _x_10} (if not _x_4.o_is_implied then {fill_client_id = _x_4.o_client_id; fill_qty = _x_6; fill_price = _x_11; fill_order_id = _x_4.o_id; fill_order_done = true} :: _x_12 else _x_12) (filled_qty + _x_6)
                                                  original ordinal:book_measure b
                                                  sub ordinal:let (_x_0 : order list) = b.b_buys in let (_x_1 : order) = List.hd _x_0 in let (_x_2 : int) = _x_1.o_qty in let (_x_3 : order list) = b.b_sells in let (_x_4 : order) = List.hd _x_3 in let (_x_5 : int) = _x_4.o_qty in let (_x_6 : int) = if _x_2 < _x_5 then _x_2 else _x_5 in let (_x_7 : int) = _x_2 - _x_6 in let (_x_8 : order list) = List.tl _x_0 in let (_x_9 : int) = _x_5 - _x_6 in let (_x_10 : order list) = List.tl _x_3 in book_measure {b_buys = if _x_7 = 0 then _x_8 else {_x_1 with o_qty = _x_7} :: _x_8; b_sells = if _x_9 = 0 then _x_10 else {_x_4 with o_qty = _x_9} :: _x_10}
                                                  path:[(List.hd b.b_buys).o_price >= (List.hd b.b_sells).o_price && b.b_buys <> [] && b.b_sells <> []]
                                                  proof:
                                                  detailed proof
                                                  ground_instances:5
                                                  definitions:0
                                                  inductions:0
                                                  search_time:
                                                  0.017s
                                                  details:
                                                  Expand
                                                  smt_stats:
                                                  arith offset eqs:6
                                                  num checks:12
                                                  arith assert lower:65
                                                  arith tableau max rows:20
                                                  arith tableau max columns:40
                                                  arith pivots:41
                                                  rlimit count:43133
                                                  mk clause:94
                                                  datatype occurs check:62
                                                  mk bool var:586
                                                  arith assert upper:45
                                                  datatype splits:120
                                                  decisions:128
                                                  arith row summations:139
                                                  arith bound prop:7
                                                  propagations:120
                                                  interface eqs:4
                                                  conflicts:16
                                                  arith fixed eqs:28
                                                  arith assume eqs:4
                                                  datatype accessor ax:76
                                                  arith conflicts:3
                                                  arith num rows:20
                                                  arith assert diseq:11
                                                  datatype constructor ax:206
                                                  num allocs:23488330
                                                  final checks:14
                                                  added eqs:1103
                                                  del clause:73
                                                  arith eq adapter:45
                                                  memory:5.530000
                                                  max memory:5.560000
                                                  Expand
                                                  • start[0.017s]
                                                      let (_x_0 : order list) = b.b_buys in
                                                      let (_x_1 : order) = List.hd _x_0 in
                                                      let (_x_2 : int) = _x_1.o_price in
                                                      let (_x_3 : order list) = b.b_sells in
                                                      let (_x_4 : order) = List.hd _x_3 in
                                                      let (_x_5 : int) = _x_4.o_price in
                                                      let (_x_6 : int) = List.length _x_0 + List.length _x_3 in
                                                      let (_x_7 : int) = if _x_6 >= 0 then _x_6 else 0 in
                                                      let (_x_8 : int) = List.length ….b_buys + List.length ….b_sells in
                                                      let (_x_9 : int) = if _x_8 >= 0 then _x_8 else 0 in
                                                      let (_x_10 : int) = _x_1.o_qty in
                                                      let (_x_11 : int) = _x_4.o_qty in
                                                      let (_x_12 : int) = if _x_10 < _x_11 then _x_10 else _x_11 in
                                                      let (_x_13 : int) = _x_10 - _x_12 in
                                                      let (_x_14 : order list) = List.tl _x_0 in
                                                      let (_x_15 : order list)
                                                          = if _x_13 = 0 then _x_14
                                                            else
                                                              {o_qty = _x_13; o_price = _x_2; o_time = _x_1.o_time;
                                                               o_id = _x_1.o_id; o_side = _x_1.o_side;
                                                               o_client_id = _x_1.o_client_id; o_inst = _x_1.o_inst;
                                                               o_is_implied = _x_1.o_is_implied}
                                                              :: _x_14
                                                      in
                                                      let (_x_16 : int) = _x_11 - _x_12 in
                                                      let (_x_17 : order list) = List.tl _x_3 in
                                                      let (_x_18 : order list)
                                                          = if _x_16 = 0 then _x_17
                                                            else
                                                              {o_qty = _x_16; o_price = _x_5; o_time = _x_4.o_time;
                                                               o_id = _x_4.o_id; o_side = _x_4.o_side;
                                                               o_client_id = _x_4.o_client_id; o_inst = _x_4.o_inst;
                                                               o_is_implied = _x_4.o_is_implied}
                                                              :: _x_17
                                                      in
                                                      _x_2 >= _x_5 && _x_0 <> [] && _x_3 <> [] && _x_7 >= 0 && _x_9 >= 0
                                                      ==> not
                                                          ((List.hd _x_15).o_price >= (List.hd _x_18).o_price
                                                           && _x_15 <> [] && _x_18 <> [])
                                                          || Ordinal.( << ) (Ordinal.Int _x_9) (Ordinal.Int _x_7)
                                                  • simplify
                                                    into:
                                                    let (_x_0 : order list) = b.b_buys in
                                                    let (_x_1 : order) = List.hd _x_0 in
                                                    let (_x_2 : int) = _x_1.o_price in
                                                    let (_x_3 : order list) = b.b_sells in
                                                    let (_x_4 : order) = List.hd _x_3 in
                                                    let (_x_5 : int) = _x_4.o_price in
                                                    let (_x_6 : int) = _x_1.o_qty in
                                                    let (_x_7 : int) = _x_4.o_qty in
                                                    let (_x_8 : int) = (-1) * (if _x_7 <= _x_6 then _x_7 else _x_6) in
                                                    let (_x_9 : int) = _x_6 + _x_8 in
                                                    let (_x_10 : order list) = List.tl _x_0 in
                                                    let (_x_11 : order list)
                                                        = if _x_9 = 0 then _x_10
                                                          else
                                                            {o_qty = _x_9; o_price = _x_2; o_time = _x_1.o_time;
                                                             o_id = _x_1.o_id; o_side = _x_1.o_side;
                                                             o_client_id = _x_1.o_client_id; o_inst = _x_1.o_inst;
                                                             o_is_implied = _x_1.o_is_implied}
                                                            :: _x_10
                                                    in
                                                    let (_x_12 : int) = _x_7 + _x_8 in
                                                    let (_x_13 : order list) = List.tl _x_3 in
                                                    let (_x_14 : order list)
                                                        = if _x_12 = 0 then _x_13
                                                          else
                                                            {o_qty = _x_12; o_price = _x_5; o_time = …; o_id = …;
                                                             o_side = …; o_client_id = …; o_inst = …; o_is_implied = …}
                                                            :: _x_13
                                                    in
                                                    let (_x_15 : int) = List.length _x_11 + List.length _x_14 in
                                                    let (_x_16 : int) = List.length _x_0 + List.length _x_3 in
                                                    (not ((_x_2 >= _x_5 && _x_0 <> []) && _x_3 <> [])
                                                     || not
                                                        (((List.hd _x_11).o_price >= (List.hd _x_14).o_price && _x_11 <> [])
                                                         && _x_14 <> []))
                                                    || Ordinal.( << ) (Ordinal.Int (if _x_15 >= 0 then _x_15 else 0))
                                                       (Ordinal.Int (if _x_16 >= 0 then _x_16 else 0))
                                                    expansions:
                                                    []
                                                    rewrite_steps:
                                                      forward_chaining:
                                                      • unroll
                                                        expr:
                                                        (let ((a!1 (<= (o_qty_1398/client
                                                                         (|get.::.0_1845/server| (b_sells_1419/client b_21…
                                                        expansions:
                                                        • unroll
                                                          expr:
                                                          (let ((a!1 (<= (o_qty_1398/client
                                                                           (|get.::.0_1845/server| (b_sells_1419/client b_21…
                                                          expansions:
                                                          • unroll
                                                            expr:
                                                            (|List.length_2148/server| (b_buys_1418/client b_2156/server))
                                                            expansions:
                                                            • unroll
                                                              expr:
                                                              (let ((a!1 (<= (o_qty_1398/client
                                                                               (|get.::.0_1845/server| (b_sells_1419/client b_21…
                                                              expansions:
                                                              • unroll
                                                                expr:
                                                                (|List.length_2148/server| (b_sells_1419/client b_2156/server))
                                                                expansions:
                                                                • Unsat

                                                                We now have a function that does something real - uncross_book (b : book) (fills : fill list) (filled_qty : int). Let's experiment how it works with some concrete values.

                                                                In [6]:
                                                                let book1 = {
                                                                  b_buys = [
                                                                    (make BUY 100 55 1 (Outright OUT1) 1 false 1)
                                                                    ; (make BUY 100 50 2 (Outright OUT1) 1 false 1)
                                                                    ]
                                                                 ; b_sells = [
                                                                    (make BUY 100 54 3 (Outright OUT1) 1 false 1)
                                                                    ; (make BUY 100 54 4 (Outright OUT1) 1 false 1)
                                                                  ]
                                                                } in
                                                                
                                                                uncross_book book1 [] 0
                                                                
                                                                Out[6]:
                                                                - : uncross_res =
                                                                {uncrossed_book = <document>;
                                                                 uncrossed_fills =
                                                                  [{fill_client_id = 1; fill_qty = 100; fill_price = 54; fill_order_id = 3;
                                                                    fill_order_done = true};
                                                                   {fill_client_id = 1; fill_qty = 100; fill_price = 54; fill_order_id = 1;
                                                                    fill_order_done = true}];
                                                                 uncrossed_qty = 100}
                                                                
                                                                M1 Mar21
                                                                BuysSells
                                                                50 (100)
                                                                54 (100)

                                                                2.3 A few verification goals

                                                                Let's try to verify some verification goals.

                                                                The first one will make sure that for an order book that is sorted (so the best bid/ask orders will be the first ones in their respective lists. Note: this is not based on the 'imbalance' of the order book, this is simply taking the midpointt of the most aggressive orders.

                                                                In [7]:
                                                                (* Returns true if the orders are sorted with respect to price *)
                                                                let rec side_price_sorted (si : side) (orders : order list) =
                                                                  match orders with
                                                                  | [] -> true
                                                                  | x::[] -> true
                                                                  | x::y::xs ->
                                                                    if si = BUY then
                                                                      begin
                                                                        if y.o_price > x.o_price && x.o_price > 0 then false else (side_price_sorted si (y::xs))
                                                                      end
                                                                    else
                                                                      begin
                                                                        if y.o_price < x.o_price && y.o_price > 0 then false else (side_price_sorted si (y::xs))
                                                                      end
                                                                ;;
                                                                
                                                                (* Let's make sure all the fills have this price *)
                                                                let rec fills_good_price (fills : fill list) (p : int) =
                                                                  match fills with
                                                                  | [] -> true
                                                                  | x::xs -> (x.fill_price = p) && (fills_good_price xs p)
                                                                ;;
                                                                
                                                                (** Let's to verify some properties *)
                                                                let fill_price_midpoint (b : book) =
                                                                
                                                                  let buys_sorted = side_price_sorted BUY b.b_buys in
                                                                  let sells_sorted = side_price_sorted SELL b.b_sells in
                                                                
                                                                  let result_good =
                                                                    begin
                                                                      match b.b_buys, b.b_sells with
                                                                      | [], _ -> true
                                                                      | _, [] -> true
                                                                      | x::xs, y::ys ->
                                                                        let unc_res = uncross_book b [] 0 in
                                                                        if x.o_price >= y.o_price then
                                                                          let midprice = (x.o_price + y.o_price) / 2 in
                                                                          (List.length unc_res.uncrossed_fills) > 0 && (fills_good_price unc_res.uncrossed_fills midprice)
                                                                        else
                                                                          true
                                                                    end in
                                                                
                                                                  (* This is the 'punchline'... if the sides are price-sorted, then the fills will be the first midpoint *)
                                                                  (buys_sorted && sells_sorted) ==> result_good
                                                                ;;
                                                                
                                                                
                                                                verify fill_price_midpoint
                                                                
                                                                Out[7]:
                                                                val side_price_sorted : side -> order list -> bool = <fun>
                                                                val fills_good_price : fill list -> Z.t -> bool = <fun>
                                                                val fill_price_midpoint : book -> bool = <fun>
                                                                - : book -> bool = <fun>
                                                                module CX : sig val b : book end
                                                                
                                                                termination proof

                                                                Termination proof

                                                                call `let (_x_0 : order list) = List.tl orders in side_price_sorted si ((List.hd _x_0) :: (List.tl _x_0))` from `side_price_sorted si orders`
                                                                original:side_price_sorted si orders
                                                                sub:let (_x_0 : order list) = List.tl orders in side_price_sorted si ((List.hd _x_0) :: (List.tl _x_0))
                                                                original ordinal:Ordinal.Int (_cnt orders)
                                                                sub ordinal:let (_x_0 : order list) = List.tl orders in Ordinal.Int (_cnt ((List.hd _x_0) :: (List.tl _x_0)))
                                                                path:[let (_x_0 : int) = (List.hd orders).o_price in not ((List.hd (List.tl orders)).o_price > _x_0 && _x_0 > 0) && si = BUY && (List.tl orders) <> [] && orders <> []]
                                                                proof:
                                                                detailed proof
                                                                ground_instances:2
                                                                definitions:0
                                                                inductions:0
                                                                search_time:
                                                                0.011s
                                                                details:
                                                                Expand
                                                                smt_stats:
                                                                num checks:6
                                                                arith assert lower:23
                                                                arith tableau max rows:13
                                                                arith tableau max columns:34
                                                                arith pivots:18
                                                                rlimit count:52881
                                                                mk clause:45
                                                                datatype occurs check:30
                                                                mk bool var:242
                                                                arith assert upper:16
                                                                datatype splits:51
                                                                decisions:46
                                                                arith row summations:38
                                                                arith bound prop:1
                                                                propagations:31
                                                                conflicts:8
                                                                arith fixed eqs:9
                                                                datatype accessor ax:33
                                                                minimized lits:1
                                                                arith conflicts:2
                                                                arith num rows:13
                                                                datatype constructor ax:64
                                                                num allocs:42596927
                                                                final checks:4
                                                                added eqs:299
                                                                del clause:19
                                                                arith eq adapter:13
                                                                memory:5.560000
                                                                max memory:5.560000
                                                                Expand
                                                                • start[0.011s]
                                                                    let (_x_0 : order list) = List.tl orders in
                                                                    let (_x_1 : order) = List.hd _x_0 in
                                                                    let (_x_2 : int) = _x_1.o_price in
                                                                    let (_x_3 : int) = (List.hd orders).o_price in
                                                                    let (_x_4 : bool) = si = BUY in
                                                                    let (_x_5 : int) = count.list count.order orders in
                                                                    let (_x_6 : int) = count.list count.order (_x_1 :: …) in
                                                                    let (_x_7 : int) = (List.hd …).o_price in
                                                                    let (_x_8 : bool) = … <> [] in
                                                                    not (_x_2 > _x_3 && _x_3 > 0)
                                                                    && _x_4 && _x_0 <> [] && orders <> [] && _x_5 >= 0 && _x_6 >= 0
                                                                    ==> not (not (_x_7 > _x_2 && _x_2 > 0) && _x_4 && _x_8)
                                                                        && not (not (_x_7 < _x_2 && _x_7 > 0) && not _x_4 && _x_8)
                                                                        || Ordinal.( << ) (Ordinal.Int _x_6) (Ordinal.Int _x_5)
                                                                • simplify
                                                                  into:
                                                                  let (_x_0 : order list) = List.tl orders in
                                                                  let (_x_1 : order) = List.hd _x_0 in
                                                                  let (_x_2 : int) = count.list count.order (_x_1 :: …) in
                                                                  let (_x_3 : int) = count.list count.order orders in
                                                                  let (_x_4 : int) = _x_1.o_price in
                                                                  let (_x_5 : int) = (List.hd orders).o_price in
                                                                  let (_x_6 : bool) = si = BUY in
                                                                  let (_x_7 : int) = (List.hd …).o_price in
                                                                  let (_x_8 : bool) = … <> [] in
                                                                  (Ordinal.( << ) (Ordinal.Int _x_2) (Ordinal.Int _x_3)
                                                                   || not
                                                                      (((((not (not (_x_4 <= _x_5) && not (_x_5 <= 0)) && _x_6) && _x_0 <> [])
                                                                         && orders <> [])
                                                                        && _x_3 >= 0)
                                                                       && _x_2 >= 0))
                                                                  || not ((not (not (_x_7 <= _x_4) && not (_x_4 <= 0)) && _x_6) && _x_8)
                                                                     && not ((not (not (_x_4 <= _x_7) && not (_x_7 <= 0)) && not _x_6) && _x_8)
                                                                  expansions:
                                                                  []
                                                                  rewrite_steps:
                                                                    forward_chaining:
                                                                    • unroll
                                                                      expr:
                                                                      (let ((a!1 (|count.list_1937/server|
                                                                                   (|::| (|get.::.0_1845/server|
                                                                                          …
                                                                      expansions:
                                                                      • unroll
                                                                        expr:
                                                                        (|count.list_1937/server| orders_2345/server)
                                                                        expansions:
                                                                        • Unsat
                                                                        call `let (_x_0 : order list) = List.tl orders in side_price_sorted si ((List.hd _x_0) :: (List.tl _x_0))` from `side_price_sorted si orders`
                                                                        original:side_price_sorted si orders
                                                                        sub:let (_x_0 : order list) = List.tl orders in side_price_sorted si ((List.hd _x_0) :: (List.tl _x_0))
                                                                        original ordinal:Ordinal.Int (_cnt orders)
                                                                        sub ordinal:let (_x_0 : order list) = List.tl orders in Ordinal.Int (_cnt ((List.hd _x_0) :: (List.tl _x_0)))
                                                                        path:[let (_x_0 : int) = (List.hd (List.tl orders)).o_price in not (_x_0 < (List.hd orders).o_price && _x_0 > 0) && not (si = BUY) && (List.tl orders) <> [] && orders <> []]
                                                                        proof:
                                                                        detailed proof
                                                                        ground_instances:2
                                                                        definitions:0
                                                                        inductions:0
                                                                        search_time:
                                                                        0.012s
                                                                        details:
                                                                        Expand
                                                                        smt_stats:
                                                                        num checks:6
                                                                        arith assert lower:24
                                                                        arith tableau max rows:13
                                                                        arith tableau max columns:34
                                                                        arith pivots:10
                                                                        rlimit count:47801
                                                                        mk clause:46
                                                                        datatype occurs check:30
                                                                        mk bool var:256
                                                                        arith assert upper:17
                                                                        datatype splits:55
                                                                        decisions:52
                                                                        arith row summations:17
                                                                        arith bound prop:1
                                                                        propagations:33
                                                                        interface eqs:1
                                                                        conflicts:9
                                                                        arith fixed eqs:9
                                                                        arith assume eqs:1
                                                                        datatype accessor ax:36
                                                                        minimized lits:1
                                                                        arith conflicts:2
                                                                        arith num rows:13
                                                                        datatype constructor ax:70
                                                                        num allocs:32476886
                                                                        final checks:5
                                                                        added eqs:319
                                                                        del clause:21
                                                                        arith eq adapter:14
                                                                        memory:5.540000
                                                                        max memory:5.560000
                                                                        Expand
                                                                        • start[0.012s]
                                                                            let (_x_0 : order list) = List.tl orders in
                                                                            let (_x_1 : order) = List.hd _x_0 in
                                                                            let (_x_2 : int) = _x_1.o_price in
                                                                            let (_x_3 : bool) = _x_2 > 0 in
                                                                            let (_x_4 : bool) = si = BUY in
                                                                            let (_x_5 : bool) = not _x_4 in
                                                                            let (_x_6 : int) = count.list count.order orders in
                                                                            let (_x_7 : int) = count.list count.order (_x_1 :: …) in
                                                                            let (_x_8 : int) = (List.hd …).o_price in
                                                                            let (_x_9 : bool) = … <> [] in
                                                                            not (_x_2 < (List.hd orders).o_price && _x_3)
                                                                            && _x_5 && _x_0 <> [] && orders <> [] && _x_6 >= 0 && _x_7 >= 0
                                                                            ==> not (not (_x_8 > _x_2 && _x_3) && _x_4 && _x_9)
                                                                                && not (not (_x_8 < _x_2 && _x_8 > 0) && _x_5 && _x_9)
                                                                                || Ordinal.( << ) (Ordinal.Int _x_7) (Ordinal.Int _x_6)
                                                                        • simplify
                                                                          into:
                                                                          let (_x_0 : order list) = List.tl orders in
                                                                          let (_x_1 : order) = List.hd _x_0 in
                                                                          let (_x_2 : int) = _x_1.o_price in
                                                                          let (_x_3 : bool) = not (_x_2 <= 0) in
                                                                          let (_x_4 : bool) = si = BUY in
                                                                          let (_x_5 : bool) = not _x_4 in
                                                                          let (_x_6 : int) = count.list count.order orders in
                                                                          let (_x_7 : int) = count.list count.order (_x_1 :: …) in
                                                                          let (_x_8 : int) = (List.hd …).o_price in
                                                                          let (_x_9 : bool) = … <> [] in
                                                                          (not
                                                                           (((((not (not ((List.hd orders).o_price <= _x_2) && _x_3) && _x_5)
                                                                               && _x_0 <> [])
                                                                              && orders <> [])
                                                                             && _x_6 >= 0)
                                                                            && _x_7 >= 0)
                                                                           || Ordinal.( << ) (Ordinal.Int _x_7) (Ordinal.Int _x_6))
                                                                          || not ((not (not (_x_8 <= _x_2) && _x_3) && _x_4) && _x_9)
                                                                             && not ((not (not (_x_2 <= _x_8) && not (_x_8 <= 0)) && _x_5) && _x_9)
                                                                          expansions:
                                                                          []
                                                                          rewrite_steps:
                                                                            forward_chaining:
                                                                            • unroll
                                                                              expr:
                                                                              (let ((a!1 (|count.list_1937/server|
                                                                                           (|::| (|get.::.0_1845/server|
                                                                                                  …
                                                                              expansions:
                                                                              • unroll
                                                                                expr:
                                                                                (|count.list_1937/server| orders_2345/server)
                                                                                expansions:
                                                                                • Unsat
                                                                                termination proof

                                                                                Termination proof

                                                                                call `fills_good_price (List.tl fills) p` from `fills_good_price fills p`
                                                                                original:fills_good_price fills p
                                                                                sub:fills_good_price (List.tl fills) p
                                                                                original ordinal:Ordinal.Int (_cnt fills)
                                                                                sub ordinal:Ordinal.Int (_cnt (List.tl fills))
                                                                                path:[(List.hd fills).fill_price = p && fills <> []]
                                                                                proof:
                                                                                detailed proof
                                                                                ground_instances:2
                                                                                definitions:0
                                                                                inductions:0
                                                                                search_time:
                                                                                0.011s
                                                                                details:
                                                                                Expand
                                                                                smt_stats:
                                                                                num checks:6
                                                                                arith assert lower:8
                                                                                arith tableau max rows:6
                                                                                arith tableau max columns:20
                                                                                arith pivots:5
                                                                                rlimit count:55407
                                                                                mk clause:25
                                                                                datatype occurs check:14
                                                                                mk bool var:72
                                                                                arith assert upper:6
                                                                                datatype splits:2
                                                                                decisions:12
                                                                                arith row summations:14
                                                                                propagations:15
                                                                                conflicts:7
                                                                                arith fixed eqs:2
                                                                                datatype accessor ax:10
                                                                                arith conflicts:2
                                                                                arith num rows:6
                                                                                datatype constructor ax:8
                                                                                num allocs:53690611
                                                                                final checks:4
                                                                                added eqs:51
                                                                                del clause:7
                                                                                arith eq adapter:5
                                                                                memory:5.460000
                                                                                max memory:5.560000
                                                                                Expand
                                                                                • start[0.011s]
                                                                                    let (_x_0 : int) = count.list count.fill fills in
                                                                                    let (_x_1 : fill list) = List.tl fills in
                                                                                    let (_x_2 : int) = count.list count.fill _x_1 in
                                                                                    (List.hd fills).fill_price = p && fills <> [] && _x_0 >= 0 && _x_2 >= 0
                                                                                    ==> not ((List.hd _x_1).fill_price = p && _x_1 <> [])
                                                                                        || Ordinal.( << ) (Ordinal.Int _x_2) (Ordinal.Int _x_0)
                                                                                • simplify
                                                                                  into:
                                                                                  let (_x_0 : fill list) = List.tl fills in
                                                                                  let (_x_1 : int) = count.list count.fill fills in
                                                                                  let (_x_2 : int) = count.list count.fill _x_0 in
                                                                                  (not ((List.hd _x_0).fill_price = p && _x_0 <> [])
                                                                                   || not
                                                                                      ((((List.hd fills).fill_price = p && fills <> []) && _x_1 >= 0)
                                                                                       && _x_2 >= 0))
                                                                                  || Ordinal.( << ) (Ordinal.Int _x_2) (Ordinal.Int _x_1)
                                                                                  expansions:
                                                                                  []
                                                                                  rewrite_steps:
                                                                                    forward_chaining:
                                                                                    • unroll
                                                                                      expr:
                                                                                      (|Ordinal.<<_129/client|
                                                                                        (|Ordinal.Int_114/client|
                                                                                          (|count.list_1898/server| (|get.::.1_1872/s…
                                                                                      expansions:
                                                                                      • unroll
                                                                                        expr:
                                                                                        (|count.list_1898/server| fills_2498/server)
                                                                                        expansions:
                                                                                        • Unsat
                                                                                        Counterexample (after 7 steps, 0.022s):
                                                                                        let b : book =
                                                                                          let (_x_0 : instrument) = Strategy STRAT1 in
                                                                                          {b_buys =
                                                                                           [{o_qty = 1142; o_price = 1236; o_time = 3; o_id = 4; o_side = BUY;
                                                                                             o_client_id = 5; o_inst = _x_0; o_is_implied = true}];
                                                                                           b_sells =
                                                                                           [{o_qty = 1142; o_price = 56; o_time = 6; o_id = 7; o_side = BUY;
                                                                                             o_client_id = 8; o_inst = _x_0; o_is_implied = true}]}
                                                                                        
                                                                                        Refuted
                                                                                        proof attempt
                                                                                        ground_instances:7
                                                                                        definitions:0
                                                                                        inductions:0
                                                                                        search_time:
                                                                                        0.022s
                                                                                        details:
                                                                                        Expand
                                                                                        smt_stats:
                                                                                        arith offset eqs:39
                                                                                        arith assert lower:86
                                                                                        arith patches_succ:2
                                                                                        datatype occurs check:323
                                                                                        datatype splits:370
                                                                                        arith bound prop:10
                                                                                        propagations:389
                                                                                        arith patches:2
                                                                                        interface eqs:6
                                                                                        conflicts:21
                                                                                        arith fixed eqs:39
                                                                                        datatype constructor ax:624
                                                                                        num allocs:68505057
                                                                                        final checks:25
                                                                                        added eqs:3191
                                                                                        del clause:86
                                                                                        num checks:15
                                                                                        arith tableau max rows:26
                                                                                        arith tableau max columns:50
                                                                                        arith pivots:57
                                                                                        rlimit count:22463
                                                                                        mk clause:250
                                                                                        mk bool var:1606
                                                                                        arith gcd tests:2
                                                                                        arith assert upper:84
                                                                                        decisions:444
                                                                                        arith row summations:151
                                                                                        arith assume eqs:6
                                                                                        datatype accessor ax:218
                                                                                        minimized lits:2
                                                                                        arith conflicts:4
                                                                                        arith num rows:26
                                                                                        arith assert diseq:1
                                                                                        arith eq adapter:50
                                                                                        time:0.001000
                                                                                        memory:6.520000
                                                                                        max memory:6.520000
                                                                                        Expand
                                                                                        • start[0.022s]
                                                                                            let (_x_0 : order list) = ( :var_0: ).b_buys in
                                                                                            let (_x_1 : order list) = ( :var_0: ).b_sells in
                                                                                            side_price_sorted BUY _x_0 && side_price_sorted SELL _x_1
                                                                                            ==> (if _x_0 <> []
                                                                                                 then
                                                                                                   if _x_1 <> []
                                                                                                   then
                                                                                                     if (List.hd _x_0).o_price >= (List.hd _x_1).o_price
                                                                                                     then List.length … > 0 && fills_good_price … … else true
                                                                                                   else true
                                                                                                 else true)
                                                                                        • simplify

                                                                                          into:
                                                                                          let (_x_0 : order list) = ( :var_0: ).b_buys in
                                                                                          let (_x_1 : order list) = ( :var_0: ).b_sells in
                                                                                          (((not (List.length … <= 0) && fills_good_price … …
                                                                                             || not ((List.hd _x_0).o_price >= (List.hd _x_1).o_price))
                                                                                            || not (_x_1 <> []))
                                                                                           || not (_x_0 <> []))
                                                                                          || not (side_price_sorted BUY _x_0 && side_price_sorted SELL _x_1)
                                                                                          expansions:
                                                                                          []
                                                                                          rewrite_steps:
                                                                                            forward_chaining:
                                                                                            • unroll
                                                                                              expr:
                                                                                              (side_price_sorted_1578/client
                                                                                                SELL_1346/client
                                                                                                (b_sells_1419/client b_1609/client))
                                                                                              expansions:
                                                                                              • unroll
                                                                                                expr:
                                                                                                (side_price_sorted_1578/client
                                                                                                  BUY_1345/client
                                                                                                  (b_buys_1418/client b_1609/client))
                                                                                                expansions:
                                                                                                • unroll
                                                                                                  expr:
                                                                                                  (|List.length_2549/server|
                                                                                                    (uncrossed_fills_1493/client (uncross_book_1547/client b_1609/client |[…
                                                                                                  expansions:
                                                                                                  • unroll
                                                                                                    expr:
                                                                                                    (uncross_book_1547/client b_1609/client |[]| 0)
                                                                                                    expansions:
                                                                                                    • unroll
                                                                                                      expr:
                                                                                                      (let ((a!1 (+ (o_price_1399/client
                                                                                                                      (|get.::.0_2542/server| (b_buys_1418/client b_160…
                                                                                                      expansions:
                                                                                                      • unroll
                                                                                                        expr:
                                                                                                        (let ((a!1 (<= (o_qty_1398/client
                                                                                                                         (|get.::.0_2542/server| (b_sells_1419/client b_16…
                                                                                                        expansions:
                                                                                                        • unroll
                                                                                                          expr:
                                                                                                          (let ((a!1 (|::| (|get.::.0_2542/server|
                                                                                                                             (|get.::.1_2543/server| (b_sells_1419/cl…
                                                                                                          expansions:
                                                                                                          • Sat (Some let b : book = let (_x_0 : instrument) = Strategy STRAT1 in {b_buys = [{o_qty = (Z.of_nativeint (1142n)); o_price = (Z.of_nativeint (1236n)); o_time = (Z.of_nativeint (3n)); o_id = (Z.of_nativeint (4n)); o_side = BUY; o_client_id = (Z.of_nativeint (5n)); o_inst = _x_0; o_is_implied = true}]; b_sells = [{o_qty = (Z.of_nativeint (1142n)); o_price = (Z.of_nativeint (56n)); o_time = (Z.of_nativeint (6n)); o_id = (Z.of_nativeint (7n)); o_side = BUY; o_client_id = (Z.of_nativeint (8n)); o_inst = _x_0; o_is_implied = true}]} )

                                                                                                          Our second verification goal will look to make sure that no quantities are lost during uncrossing. Note that no fills are generated for implied orders (there's a different mechanism for that), so when we look at the book we will only consider outright orders. Note that o_qty represents the residual order quantity - for this demo, we do not differentiate between original, filled and residual order quantity. When order is created, the qty is set to that number and is decreased when filled.

                                                                                                          In [8]:
                                                                                                          (* All no quantities get lost during uncross *)
                                                                                                          let no_lost_qtys (b : book) =
                                                                                                          
                                                                                                            let rec qtys_pos_nonimp = function
                                                                                                              | [] -> true
                                                                                                              | x::xs -> x.o_qty >= 0 && not x.o_is_implied && (qtys_pos_nonimp xs) in
                                                                                                          
                                                                                                            let rec sum_qtys = function
                                                                                                              | [] -> 0
                                                                                                              | x::xs -> x.o_qty + (sum_qtys xs) in
                                                                                                          
                                                                                                            let rec sum_fill_qtys = function
                                                                                                              | [] -> 0
                                                                                                              | x::xs -> x.fill_qty + (sum_fill_qtys xs) in
                                                                                                          
                                                                                                            let unc_res = uncross_book b [] 0 in
                                                                                                          
                                                                                                            (* We need to make sure the book is non-negative *)
                                                                                                            let book_nonneg_nonimp = (qtys_pos_nonimp b.b_buys) && (qtys_pos_nonimp b.b_sells) in
                                                                                                          
                                                                                                            (* Let's sum up all of the quantities of orders before the uncross *)
                                                                                                            let count_before = (sum_qtys b.b_buys) + (sum_qtys b.b_sells) in
                                                                                                          
                                                                                                            (* And after *)
                                                                                                            let count_after = (sum_qtys unc_res.uncrossed_book.b_buys) +
                                                                                                                              (sum_qtys unc_res.uncrossed_book.b_sells) +
                                                                                                                              (sum_fill_qtys unc_res.uncrossed_fills) in
                                                                                                          
                                                                                                            book_nonneg_nonimp ==> (count_before = count_after)
                                                                                                          ;;
                                                                                                          
                                                                                                          verify ~upto:15 no_lost_qtys
                                                                                                          
                                                                                                          Out[8]:
                                                                                                          val no_lost_qtys : book -> bool = <fun>
                                                                                                          - : book -> bool = <fun>
                                                                                                          
                                                                                                          termination proof

                                                                                                          Termination proof

                                                                                                          call `rec_fun.no_lost_qtys.sum_fill_qtys.2 (List.tl _z)` from `rec_fun.no_lost_qtys.sum_fill_qtys.2 _z`
                                                                                                          original:rec_fun.no_lost_qtys.sum_fill_qtys.2 _z
                                                                                                          sub:rec_fun.no_lost_qtys.sum_fill_qtys.2 (List.tl _z)
                                                                                                          original ordinal:Ordinal.Int (_cnt _z)
                                                                                                          sub ordinal:Ordinal.Int (_cnt (List.tl _z))
                                                                                                          path:[_z <> []]
                                                                                                          proof:
                                                                                                          detailed proof
                                                                                                          ground_instances:3
                                                                                                          definitions:0
                                                                                                          inductions:0
                                                                                                          search_time:
                                                                                                          0.012s
                                                                                                          details:
                                                                                                          Expand
                                                                                                          smt_stats:
                                                                                                          num checks:8
                                                                                                          arith assert lower:29
                                                                                                          arith tableau max rows:10
                                                                                                          arith tableau max columns:35
                                                                                                          arith pivots:22
                                                                                                          rlimit count:26526
                                                                                                          mk clause:55
                                                                                                          datatype occurs check:29
                                                                                                          mk bool var:129
                                                                                                          arith assert upper:26
                                                                                                          datatype splits:3
                                                                                                          decisions:37
                                                                                                          arith row summations:38
                                                                                                          propagations:46
                                                                                                          conflicts:10
                                                                                                          arith fixed eqs:11
                                                                                                          datatype accessor ax:9
                                                                                                          arith conflicts:2
                                                                                                          arith num rows:10
                                                                                                          datatype constructor ax:11
                                                                                                          num allocs:84424767
                                                                                                          final checks:6
                                                                                                          added eqs:86
                                                                                                          del clause:25
                                                                                                          arith eq adapter:20
                                                                                                          memory:6.240000
                                                                                                          max memory:6.520000
                                                                                                          Expand
                                                                                                          • start[0.012s]
                                                                                                              let (_x_0 : int) = count.list count.fill _z in
                                                                                                              let (_x_1 : fill list) = List.tl _z in
                                                                                                              let (_x_2 : int) = count.list count.fill _x_1 in
                                                                                                              _z <> [] && _x_0 >= 0 && _x_2 >= 0
                                                                                                              ==> not (_x_1 <> [])
                                                                                                                  || Ordinal.( << ) (Ordinal.Int _x_2) (Ordinal.Int _x_0)
                                                                                                          • simplify
                                                                                                            into:
                                                                                                            let (_x_0 : int) = count.list count.fill _z in
                                                                                                            let (_x_1 : fill list) = List.tl _z in
                                                                                                            let (_x_2 : int) = count.list count.fill _x_1 in
                                                                                                            (not ((_z <> [] && _x_0 >= 0) && _x_2 >= 0)
                                                                                                             || Ordinal.( << ) (Ordinal.Int _x_2) (Ordinal.Int _x_0))
                                                                                                            || not (_x_1 <> [])
                                                                                                            expansions:
                                                                                                            []
                                                                                                            rewrite_steps:
                                                                                                              forward_chaining:
                                                                                                              • unroll
                                                                                                                expr:
                                                                                                                (|count.list_2708/server| (|get.::.1_2547/server| _z_2697/server))
                                                                                                                expansions:
                                                                                                                • unroll
                                                                                                                  expr:
                                                                                                                  (|Ordinal.<<_129/client|
                                                                                                                    (|Ordinal.Int_114/client|
                                                                                                                      (|count.list_2708/server| (|get.::.1_2547/s…
                                                                                                                  expansions:
                                                                                                                  • unroll
                                                                                                                    expr:
                                                                                                                    (|count.list_2708/server| _z_2697/server)
                                                                                                                    expansions:
                                                                                                                    • Unsat
                                                                                                                    termination proof

                                                                                                                    Termination proof

                                                                                                                    call `rec_fun.no_lost_qtys.sum_qtys.1 (List.tl _y)` from `rec_fun.no_lost_qtys.sum_qtys.1 _y`
                                                                                                                    original:rec_fun.no_lost_qtys.sum_qtys.1 _y
                                                                                                                    sub:rec_fun.no_lost_qtys.sum_qtys.1 (List.tl _y)
                                                                                                                    original ordinal:Ordinal.Int (_cnt _y)
                                                                                                                    sub ordinal:Ordinal.Int (_cnt (List.tl _y))
                                                                                                                    path:[_y <> []]
                                                                                                                    proof:
                                                                                                                    detailed proof
                                                                                                                    ground_instances:2
                                                                                                                    definitions:0
                                                                                                                    inductions:0
                                                                                                                    search_time:
                                                                                                                    0.011s
                                                                                                                    details:
                                                                                                                    Expand
                                                                                                                    smt_stats:
                                                                                                                    num checks:6
                                                                                                                    arith assert lower:27
                                                                                                                    arith tableau max rows:9
                                                                                                                    arith tableau max columns:26
                                                                                                                    arith pivots:18
                                                                                                                    rlimit count:30151
                                                                                                                    mk clause:40
                                                                                                                    datatype occurs check:15
                                                                                                                    mk bool var:187
                                                                                                                    arith assert upper:23
                                                                                                                    datatype splits:34
                                                                                                                    decisions:43
                                                                                                                    arith row summations:23
                                                                                                                    propagations:37
                                                                                                                    conflicts:8
                                                                                                                    arith fixed eqs:10
                                                                                                                    datatype accessor ax:25
                                                                                                                    arith conflicts:2
                                                                                                                    arith num rows:9
                                                                                                                    datatype constructor ax:44
                                                                                                                    num allocs:100246929
                                                                                                                    final checks:4
                                                                                                                    added eqs:218
                                                                                                                    del clause:22
                                                                                                                    arith eq adapter:18
                                                                                                                    memory:6.250000
                                                                                                                    max memory:6.520000
                                                                                                                    Expand
                                                                                                                    • start[0.011s]
                                                                                                                        let (_x_0 : int) = count.list count.order _y in
                                                                                                                        let (_x_1 : order list) = List.tl _y in
                                                                                                                        let (_x_2 : int) = count.list count.order _x_1 in
                                                                                                                        _y <> [] && _x_0 >= 0 && _x_2 >= 0
                                                                                                                        ==> not (_x_1 <> [])
                                                                                                                            || Ordinal.( << ) (Ordinal.Int _x_2) (Ordinal.Int _x_0)
                                                                                                                    • simplify
                                                                                                                      into:
                                                                                                                      let (_x_0 : order list) = List.tl _y in
                                                                                                                      let (_x_1 : int) = count.list count.order _x_0 in
                                                                                                                      let (_x_2 : int) = count.list count.order _y in
                                                                                                                      (Ordinal.( << ) (Ordinal.Int _x_1) (Ordinal.Int _x_2)
                                                                                                                       || not ((_y <> [] && _x_2 >= 0) && _x_1 >= 0))
                                                                                                                      || not (_x_0 <> [])
                                                                                                                      expansions:
                                                                                                                      []
                                                                                                                      rewrite_steps:
                                                                                                                        forward_chaining:
                                                                                                                        • unroll
                                                                                                                          expr:
                                                                                                                          (|count.list_2744/server| _y_2737/server)
                                                                                                                          expansions:
                                                                                                                          • unroll
                                                                                                                            expr:
                                                                                                                            (|Ordinal.<<_129/client|
                                                                                                                              (|Ordinal.Int_114/client|
                                                                                                                                (|count.list_2744/server| (|get.::.1_2543/s…
                                                                                                                            expansions:
                                                                                                                            • Unsat
                                                                                                                            termination proof

                                                                                                                            Termination proof

                                                                                                                            call `rec_fun.no_lost_qtys.qtys_pos_nonimp.0 (List.tl _x)` from `rec_fun.no_lost_qtys.qtys_pos_nonimp.0 _x`
                                                                                                                            original:rec_fun.no_lost_qtys.qtys_pos_nonimp.0 _x
                                                                                                                            sub:rec_fun.no_lost_qtys.qtys_pos_nonimp.0 (List.tl _x)
                                                                                                                            original ordinal:Ordinal.Int (_cnt _x)
                                                                                                                            sub ordinal:Ordinal.Int (_cnt (List.tl _x))
                                                                                                                            path:[not (List.hd _x).o_is_implied && (List.hd _x).o_qty >= 0 && _x <> []]
                                                                                                                            proof:
                                                                                                                            detailed proof
                                                                                                                            ground_instances:2
                                                                                                                            definitions:0
                                                                                                                            inductions:0
                                                                                                                            search_time:
                                                                                                                            0.011s
                                                                                                                            details:
                                                                                                                            Expand
                                                                                                                            smt_stats:
                                                                                                                            num checks:6
                                                                                                                            arith assert lower:26
                                                                                                                            arith tableau max rows:9
                                                                                                                            arith tableau max columns:26
                                                                                                                            arith pivots:15
                                                                                                                            rlimit count:34336
                                                                                                                            mk clause:34
                                                                                                                            datatype occurs check:15
                                                                                                                            mk bool var:164
                                                                                                                            arith assert upper:14
                                                                                                                            datatype splits:26
                                                                                                                            decisions:32
                                                                                                                            arith row summations:41
                                                                                                                            propagations:26
                                                                                                                            conflicts:9
                                                                                                                            arith fixed eqs:11
                                                                                                                            datatype accessor ax:23
                                                                                                                            arith conflicts:2
                                                                                                                            arith num rows:9
                                                                                                                            datatype constructor ax:44
                                                                                                                            num allocs:117198972
                                                                                                                            final checks:4
                                                                                                                            added eqs:190
                                                                                                                            del clause:23
                                                                                                                            arith eq adapter:14
                                                                                                                            memory:6.260000
                                                                                                                            max memory:6.520000
                                                                                                                            Expand
                                                                                                                            • start[0.011s]
                                                                                                                                let (_x_0 : order) = List.hd _x in
                                                                                                                                let (_x_1 : int) = count.list count.order _x in
                                                                                                                                let (_x_2 : order list) = List.tl _x in
                                                                                                                                let (_x_3 : int) = count.list count.order _x_2 in
                                                                                                                                let (_x_4 : order) = List.hd _x_2 in
                                                                                                                                not _x_0.o_is_implied
                                                                                                                                && _x_0.o_qty >= 0 && _x <> [] && _x_1 >= 0 && _x_3 >= 0
                                                                                                                                ==> not (not _x_4.o_is_implied && _x_4.o_qty >= 0 && _x_2 <> [])
                                                                                                                                    || Ordinal.( << ) (Ordinal.Int _x_3) (Ordinal.Int _x_1)
                                                                                                                            • simplify
                                                                                                                              into:
                                                                                                                              let (_x_0 : order list) = List.tl _x in
                                                                                                                              let (_x_1 : order) = List.hd _x_0 in
                                                                                                                              let (_x_2 : int) = count.list count.order _x_0 in
                                                                                                                              let (_x_3 : int) = count.list count.order _x in
                                                                                                                              let (_x_4 : order) = List.hd _x in
                                                                                                                              (not ((not _x_1.o_is_implied && _x_1.o_qty >= 0) && _x_0 <> [])
                                                                                                                               || Ordinal.( << ) (Ordinal.Int _x_2) (Ordinal.Int _x_3))
                                                                                                                              || not
                                                                                                                                 ((((not _x_4.o_is_implied && _x_4.o_qty >= 0) && _x <> []) && _x_3 >= 0)
                                                                                                                                  && _x_2 >= 0)
                                                                                                                              expansions:
                                                                                                                              []
                                                                                                                              rewrite_steps:
                                                                                                                                forward_chaining:
                                                                                                                                • unroll
                                                                                                                                  expr:
                                                                                                                                  (|count.list_2744/server| _x_2773/server)
                                                                                                                                  expansions:
                                                                                                                                  • unroll
                                                                                                                                    expr:
                                                                                                                                    (|Ordinal.<<_129/client|
                                                                                                                                      (|Ordinal.Int_114/client|
                                                                                                                                        (|count.list_2744/server| (|get.::.1_2543/s…
                                                                                                                                    expansions:
                                                                                                                                    • Unsat
                                                                                                                                    Proved up to 15 steps

                                                                                                                                    2.4 Test generation

                                                                                                                                    First, we will decompose the function and then generate test cases for it.

                                                                                                                                    In [9]:
                                                                                                                                    (* This is a 'side_condition' function that tells decomposition that we're only interested in cases where the
                                                                                                                                    initial fills are empty *)
                                                                                                                                    let cond (b : book) (fills : fill list) (filled_qty : int) =
                                                                                                                                     fills = [] && filled_qty = 0
                                                                                                                                    ;;
                                                                                                                                    
                                                                                                                                    let d = Modular_decomp.top ~assuming:"cond" "uncross_book" ~prune:true [@@program];;
                                                                                                                                    
                                                                                                                                    Out[9]:
                                                                                                                                    val cond : book -> fill list -> Z.t -> bool = <fun>
                                                                                                                                    val d : Modular_decomp_intf.decomp_ref = <abstr>
                                                                                                                                    
                                                                                                                                    Regions details

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                                                                                                                                    • Unnumbered regions are groups whose children share a particular constraint
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                                                                                                                                    decomp of (uncross_book b, fills, filled_qty
                                                                                                                                    Reg_idConstraintsInvariant
                                                                                                                                    19
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • not (fills <> [])
                                                                                                                                    • not Is_a([], b.b_buys)
                                                                                                                                    • not (b.b_sells <> [])
                                                                                                                                    {uncrossed_book = b; uncrossed_fills = fills; uncrossed_qty = filled_qty}
                                                                                                                                    18
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • not (fills <> [])
                                                                                                                                    • Is_a([], b.b_buys)
                                                                                                                                    • not (b.b_sells <> [])
                                                                                                                                    {uncrossed_book = b; uncrossed_fills = fills; uncrossed_qty = filled_qty}
                                                                                                                                    17
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • not (fills <> [])
                                                                                                                                    • not (b.b_buys <> [])
                                                                                                                                    • b.b_sells <> []
                                                                                                                                    {uncrossed_book = b; uncrossed_fills = fills; uncrossed_qty = filled_qty}
                                                                                                                                    16
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • not ((List.hd b.b_buys).o_price >= (List.hd b.b_sells).o_price)
                                                                                                                                    • b.b_buys <> []
                                                                                                                                    • b.b_sells <> []
                                                                                                                                    {uncrossed_book = b; uncrossed_fills = fills; uncrossed_qty = filled_qty}
                                                                                                                                    15
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • (List.hd b.b_buys).o_is_implied
                                                                                                                                    • (List.hd b.b_sells).o_is_implied
                                                                                                                                    • not ((List.hd b.b_buys).o_qty - (List.hd b.b_sells).o_qty = 0)
                                                                                                                                    • not ((List.hd b.b_buys).o_qty < (List.hd b.b_sells).o_qty)
                                                                                                                                    • (List.hd b.b_buys).o_price >= (List.hd b.b_sells).o_price
                                                                                                                                    • b.b_buys <> []
                                                                                                                                    • b.b_sells <> []
                                                                                                                                    let (_x_0 : order list) = b.b_buys in
                                                                                                                                    let (_x_1 : order) = List.hd _x_0 in
                                                                                                                                    let (_x_2 : order list) = b.b_sells in
                                                                                                                                    let (_x_3 : int) = (List.hd _x_2).o_qty in
                                                                                                                                    uncross_book
                                                                                                                                    {b_buys = {_x_1 with o_qty = _x_1.o_qty - _x_3} :: (List.tl _x_0);
                                                                                                                                     b_sells = List.tl _x_2}
                                                                                                                                    fills (filled_qty + _x_3)
                                                                                                                                    14
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • not (List.hd b.b_buys).o_is_implied
                                                                                                                                    • (List.hd b.b_sells).o_is_implied
                                                                                                                                    • not ((List.hd b.b_buys).o_qty - (List.hd b.b_sells).o_qty = 0)
                                                                                                                                    • not ((List.hd b.b_buys).o_qty < (List.hd b.b_sells).o_qty)
                                                                                                                                    • (List.hd b.b_buys).o_price >= (List.hd b.b_sells).o_price
                                                                                                                                    • b.b_buys <> []
                                                                                                                                    • b.b_sells <> []
                                                                                                                                    let (_x_0 : order list) = b.b_buys in
                                                                                                                                    let (_x_1 : order) = List.hd _x_0 in
                                                                                                                                    let (_x_2 : order list) = b.b_sells in
                                                                                                                                    let (_x_3 : order) = List.hd _x_2 in
                                                                                                                                    let (_x_4 : int) = _x_3.o_qty in
                                                                                                                                    uncross_book
                                                                                                                                    {b_buys = {_x_1 with o_qty = _x_1.o_qty - _x_4} :: (List.tl _x_0);
                                                                                                                                     b_sells = List.tl _x_2}
                                                                                                                                    ({fill_client_id = _x_1.o_client_id; fill_qty = _x_4;
                                                                                                                                      fill_price = (_x_1.o_price + _x_3.o_price) / 2; fill_order_id = _x_1.o_id;
                                                                                                                                      fill_order_done = true}
                                                                                                                                     :: fills)
                                                                                                                                    (filled_qty + _x_4)
                                                                                                                                    13
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • (List.hd b.b_buys).o_is_implied
                                                                                                                                    • not (List.hd b.b_sells).o_is_implied
                                                                                                                                    • not ((List.hd b.b_buys).o_qty - (List.hd b.b_sells).o_qty = 0)
                                                                                                                                    • not ((List.hd b.b_buys).o_qty < (List.hd b.b_sells).o_qty)
                                                                                                                                    • (List.hd b.b_buys).o_price >= (List.hd b.b_sells).o_price
                                                                                                                                    • b.b_buys <> []
                                                                                                                                    • b.b_sells <> []
                                                                                                                                    let (_x_0 : order list) = b.b_buys in
                                                                                                                                    let (_x_1 : order) = List.hd _x_0 in
                                                                                                                                    let (_x_2 : order list) = b.b_sells in
                                                                                                                                    let (_x_3 : order) = List.hd _x_2 in
                                                                                                                                    let (_x_4 : int) = _x_3.o_qty in
                                                                                                                                    uncross_book
                                                                                                                                    {b_buys = {_x_1 with o_qty = _x_1.o_qty - _x_4} :: (List.tl _x_0);
                                                                                                                                     b_sells = List.tl _x_2}
                                                                                                                                    ({fill_client_id = _x_3.o_client_id; fill_qty = _x_4;
                                                                                                                                      fill_price = (_x_1.o_price + _x_3.o_price) / 2; fill_order_id = _x_3.o_id;
                                                                                                                                      fill_order_done = true}
                                                                                                                                     :: fills)
                                                                                                                                    (filled_qty + _x_4)
                                                                                                                                    12
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • not (List.hd b.b_buys).o_is_implied
                                                                                                                                    • not (List.hd b.b_sells).o_is_implied
                                                                                                                                    • not ((List.hd b.b_buys).o_qty - (List.hd b.b_sells).o_qty = 0)
                                                                                                                                    • not ((List.hd b.b_buys).o_qty < (List.hd b.b_sells).o_qty)
                                                                                                                                    • (List.hd b.b_buys).o_price >= (List.hd b.b_sells).o_price
                                                                                                                                    • b.b_buys <> []
                                                                                                                                    • b.b_sells <> []
                                                                                                                                    let (_x_0 : order list) = b.b_buys in
                                                                                                                                    let (_x_1 : order) = List.hd _x_0 in
                                                                                                                                    let (_x_2 : order list) = b.b_sells in
                                                                                                                                    let (_x_3 : order) = List.hd _x_2 in
                                                                                                                                    let (_x_4 : int) = _x_3.o_qty in
                                                                                                                                    let (_x_5 : int) = (_x_1.o_price + _x_3.o_price) / 2 in
                                                                                                                                    uncross_book
                                                                                                                                    {b_buys = {_x_1 with o_qty = _x_1.o_qty - _x_4} :: (List.tl _x_0);
                                                                                                                                     b_sells = List.tl _x_2}
                                                                                                                                    ({fill_client_id = _x_3.o_client_id; fill_qty = _x_4; fill_price = _x_5;
                                                                                                                                      fill_order_id = _x_3.o_id; fill_order_done = true}
                                                                                                                                     ::
                                                                                                                                     ({fill_client_id = _x_1.o_client_id; fill_qty = _x_4; fill_price = _x_5;
                                                                                                                                       fill_order_id = _x_1.o_id; fill_order_done = true}
                                                                                                                                      :: fills))
                                                                                                                                    (filled_qty + _x_4)
                                                                                                                                    11
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • (List.hd b.b_buys).o_is_implied
                                                                                                                                    • (List.hd b.b_sells).o_is_implied
                                                                                                                                    • (List.hd b.b_buys).o_qty - (List.hd b.b_sells).o_qty = 0
                                                                                                                                    • not ((List.hd b.b_buys).o_qty < (List.hd b.b_sells).o_qty)
                                                                                                                                    • (List.hd b.b_buys).o_price >= (List.hd b.b_sells).o_price
                                                                                                                                    • b.b_buys <> []
                                                                                                                                    • b.b_sells <> []
                                                                                                                                    let (_x_0 : order list) = b.b_sells in
                                                                                                                                    uncross_book {b_buys = List.tl b.b_buys; b_sells = List.tl _x_0} fills
                                                                                                                                    (filled_qty + (List.hd _x_0).o_qty)
                                                                                                                                    10
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • not (List.hd b.b_buys).o_is_implied
                                                                                                                                    • (List.hd b.b_sells).o_is_implied
                                                                                                                                    • (List.hd b.b_buys).o_qty - (List.hd b.b_sells).o_qty = 0
                                                                                                                                    • not ((List.hd b.b_buys).o_qty < (List.hd b.b_sells).o_qty)
                                                                                                                                    • (List.hd b.b_buys).o_price >= (List.hd b.b_sells).o_price
                                                                                                                                    • b.b_buys <> []
                                                                                                                                    • b.b_sells <> []
                                                                                                                                    let (_x_0 : order list) = b.b_buys in
                                                                                                                                    let (_x_1 : order list) = b.b_sells in
                                                                                                                                    let (_x_2 : order) = List.hd _x_0 in
                                                                                                                                    let (_x_3 : order) = List.hd _x_1 in
                                                                                                                                    let (_x_4 : int) = _x_3.o_qty in
                                                                                                                                    uncross_book {b_buys = List.tl _x_0; b_sells = List.tl _x_1}
                                                                                                                                    ({fill_client_id = _x_2.o_client_id; fill_qty = _x_4;
                                                                                                                                      fill_price = (_x_2.o_price + _x_3.o_price) / 2; fill_order_id = _x_2.o_id;
                                                                                                                                      fill_order_done = true}
                                                                                                                                     :: fills)
                                                                                                                                    (filled_qty + _x_4)
                                                                                                                                    9
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • (List.hd b.b_buys).o_is_implied
                                                                                                                                    • not (List.hd b.b_sells).o_is_implied
                                                                                                                                    • (List.hd b.b_buys).o_qty - (List.hd b.b_sells).o_qty = 0
                                                                                                                                    • not ((List.hd b.b_buys).o_qty < (List.hd b.b_sells).o_qty)
                                                                                                                                    • (List.hd b.b_buys).o_price >= (List.hd b.b_sells).o_price
                                                                                                                                    • b.b_buys <> []
                                                                                                                                    • b.b_sells <> []
                                                                                                                                    let (_x_0 : order list) = b.b_buys in
                                                                                                                                    let (_x_1 : order list) = b.b_sells in
                                                                                                                                    let (_x_2 : order) = List.hd _x_1 in
                                                                                                                                    let (_x_3 : int) = _x_2.o_qty in
                                                                                                                                    uncross_book {b_buys = List.tl _x_0; b_sells = List.tl _x_1}
                                                                                                                                    ({fill_client_id = _x_2.o_client_id; fill_qty = _x_3;
                                                                                                                                      fill_price = ((List.hd _x_0).o_price + _x_2.o_price) / 2;
                                                                                                                                      fill_order_id = _x_2.o_id; fill_order_done = true}
                                                                                                                                     :: fills)
                                                                                                                                    (filled_qty + _x_3)
                                                                                                                                    8
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • not (List.hd b.b_buys).o_is_implied
                                                                                                                                    • not (List.hd b.b_sells).o_is_implied
                                                                                                                                    • (List.hd b.b_buys).o_qty - (List.hd b.b_sells).o_qty = 0
                                                                                                                                    • not ((List.hd b.b_buys).o_qty < (List.hd b.b_sells).o_qty)
                                                                                                                                    • (List.hd b.b_buys).o_price >= (List.hd b.b_sells).o_price
                                                                                                                                    • b.b_buys <> []
                                                                                                                                    • b.b_sells <> []
                                                                                                                                    let (_x_0 : order list) = b.b_buys in
                                                                                                                                    let (_x_1 : order list) = b.b_sells in
                                                                                                                                    let (_x_2 : order) = List.hd _x_1 in
                                                                                                                                    let (_x_3 : int) = _x_2.o_qty in
                                                                                                                                    let (_x_4 : order) = List.hd _x_0 in
                                                                                                                                    let (_x_5 : int) = (_x_4.o_price + _x_2.o_price) / 2 in
                                                                                                                                    uncross_book {b_buys = List.tl _x_0; b_sells = List.tl _x_1}
                                                                                                                                    ({fill_client_id = _x_2.o_client_id; fill_qty = _x_3; fill_price = _x_5;
                                                                                                                                      fill_order_id = _x_2.o_id; fill_order_done = true}
                                                                                                                                     ::
                                                                                                                                     ({fill_client_id = _x_4.o_client_id; fill_qty = _x_3; fill_price = _x_5;
                                                                                                                                       fill_order_id = _x_4.o_id; fill_order_done = true}
                                                                                                                                      :: fills))
                                                                                                                                    (filled_qty + _x_3)
                                                                                                                                    7
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • (List.hd b.b_buys).o_is_implied
                                                                                                                                    • (List.hd b.b_sells).o_is_implied
                                                                                                                                    • not ((List.hd b.b_sells).o_qty - (List.hd b.b_buys).o_qty = 0)
                                                                                                                                    • (List.hd b.b_buys).o_qty < (List.hd b.b_sells).o_qty
                                                                                                                                    • (List.hd b.b_buys).o_price >= (List.hd b.b_sells).o_price
                                                                                                                                    • b.b_buys <> []
                                                                                                                                    • b.b_sells <> []
                                                                                                                                    let (_x_0 : order list) = b.b_buys in
                                                                                                                                    let (_x_1 : order list) = b.b_sells in
                                                                                                                                    let (_x_2 : order) = List.hd _x_1 in
                                                                                                                                    let (_x_3 : int) = (List.hd _x_0).o_qty in
                                                                                                                                    uncross_book
                                                                                                                                    {b_buys = List.tl _x_0;
                                                                                                                                     b_sells = {_x_2 with o_qty = _x_2.o_qty - _x_3} :: (List.tl _x_1)}
                                                                                                                                    fills (filled_qty + _x_3)
                                                                                                                                    6
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • not (List.hd b.b_buys).o_is_implied
                                                                                                                                    • (List.hd b.b_sells).o_is_implied
                                                                                                                                    • not ((List.hd b.b_sells).o_qty - (List.hd b.b_buys).o_qty = 0)
                                                                                                                                    • (List.hd b.b_buys).o_qty < (List.hd b.b_sells).o_qty
                                                                                                                                    • (List.hd b.b_buys).o_price >= (List.hd b.b_sells).o_price
                                                                                                                                    • b.b_buys <> []
                                                                                                                                    • b.b_sells <> []
                                                                                                                                    let (_x_0 : order list) = b.b_buys in
                                                                                                                                    let (_x_1 : order list) = b.b_sells in
                                                                                                                                    let (_x_2 : order) = List.hd _x_1 in
                                                                                                                                    let (_x_3 : order) = List.hd _x_0 in
                                                                                                                                    let (_x_4 : int) = _x_3.o_qty in
                                                                                                                                    uncross_book
                                                                                                                                    {b_buys = List.tl _x_0;
                                                                                                                                     b_sells = {_x_2 with o_qty = _x_2.o_qty - _x_4} :: (List.tl _x_1)}
                                                                                                                                    ({fill_client_id = _x_3.o_client_id; fill_qty = _x_4;
                                                                                                                                      fill_price = (_x_3.o_price + _x_2.o_price) / 2; fill_order_id = _x_3.o_id;
                                                                                                                                      fill_order_done = true}
                                                                                                                                     :: fills)
                                                                                                                                    (filled_qty + _x_4)
                                                                                                                                    5
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • (List.hd b.b_buys).o_is_implied
                                                                                                                                    • not (List.hd b.b_sells).o_is_implied
                                                                                                                                    • not ((List.hd b.b_sells).o_qty - (List.hd b.b_buys).o_qty = 0)
                                                                                                                                    • (List.hd b.b_buys).o_qty < (List.hd b.b_sells).o_qty
                                                                                                                                    • (List.hd b.b_buys).o_price >= (List.hd b.b_sells).o_price
                                                                                                                                    • b.b_buys <> []
                                                                                                                                    • b.b_sells <> []
                                                                                                                                    let (_x_0 : order list) = b.b_buys in
                                                                                                                                    let (_x_1 : order list) = b.b_sells in
                                                                                                                                    let (_x_2 : order) = List.hd _x_1 in
                                                                                                                                    let (_x_3 : order) = List.hd _x_0 in
                                                                                                                                    let (_x_4 : int) = _x_3.o_qty in
                                                                                                                                    uncross_book
                                                                                                                                    {b_buys = List.tl _x_0;
                                                                                                                                     b_sells = {_x_2 with o_qty = _x_2.o_qty - _x_4} :: (List.tl _x_1)}
                                                                                                                                    ({fill_client_id = _x_2.o_client_id; fill_qty = _x_4;
                                                                                                                                      fill_price = (_x_3.o_price + _x_2.o_price) / 2; fill_order_id = _x_2.o_id;
                                                                                                                                      fill_order_done = true}
                                                                                                                                     :: fills)
                                                                                                                                    (filled_qty + _x_4)
                                                                                                                                    4
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • not (List.hd b.b_buys).o_is_implied
                                                                                                                                    • not (List.hd b.b_sells).o_is_implied
                                                                                                                                    • not ((List.hd b.b_sells).o_qty - (List.hd b.b_buys).o_qty = 0)
                                                                                                                                    • (List.hd b.b_buys).o_qty < (List.hd b.b_sells).o_qty
                                                                                                                                    • (List.hd b.b_buys).o_price >= (List.hd b.b_sells).o_price
                                                                                                                                    • b.b_buys <> []
                                                                                                                                    • b.b_sells <> []
                                                                                                                                    let (_x_0 : order list) = b.b_buys in
                                                                                                                                    let (_x_1 : order list) = b.b_sells in
                                                                                                                                    let (_x_2 : order) = List.hd _x_1 in
                                                                                                                                    let (_x_3 : order) = List.hd _x_0 in
                                                                                                                                    let (_x_4 : int) = _x_3.o_qty in
                                                                                                                                    let (_x_5 : int) = (_x_3.o_price + _x_2.o_price) / 2 in
                                                                                                                                    uncross_book
                                                                                                                                    {b_buys = List.tl _x_0;
                                                                                                                                     b_sells = {_x_2 with o_qty = _x_2.o_qty - _x_4} :: (List.tl _x_1)}
                                                                                                                                    ({fill_client_id = _x_2.o_client_id; fill_qty = _x_4; fill_price = _x_5;
                                                                                                                                      fill_order_id = _x_2.o_id; fill_order_done = true}
                                                                                                                                     ::
                                                                                                                                     ({fill_client_id = _x_3.o_client_id; fill_qty = _x_4; fill_price = _x_5;
                                                                                                                                       fill_order_id = _x_3.o_id; fill_order_done = true}
                                                                                                                                      :: fills))
                                                                                                                                    (filled_qty + _x_4)
                                                                                                                                    3
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • (List.hd b.b_buys).o_is_implied
                                                                                                                                    • (List.hd b.b_sells).o_is_implied
                                                                                                                                    • (List.hd b.b_sells).o_qty - (List.hd b.b_buys).o_qty = 0
                                                                                                                                    • (List.hd b.b_buys).o_qty < (List.hd b.b_sells).o_qty
                                                                                                                                    • (List.hd b.b_buys).o_price >= (List.hd b.b_sells).o_price
                                                                                                                                    • b.b_buys <> []
                                                                                                                                    • b.b_sells <> []
                                                                                                                                    let (_x_0 : order list) = b.b_buys in
                                                                                                                                    uncross_book {b_buys = List.tl _x_0; b_sells = List.tl b.b_sells} fills
                                                                                                                                    (filled_qty + (List.hd _x_0).o_qty)
                                                                                                                                    2
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • not (List.hd b.b_buys).o_is_implied
                                                                                                                                    • (List.hd b.b_sells).o_is_implied
                                                                                                                                    • (List.hd b.b_sells).o_qty - (List.hd b.b_buys).o_qty = 0
                                                                                                                                    • (List.hd b.b_buys).o_qty < (List.hd b.b_sells).o_qty
                                                                                                                                    • (List.hd b.b_buys).o_price >= (List.hd b.b_sells).o_price
                                                                                                                                    • b.b_buys <> []
                                                                                                                                    • b.b_sells <> []
                                                                                                                                    let (_x_0 : order list) = b.b_buys in
                                                                                                                                    let (_x_1 : order list) = b.b_sells in
                                                                                                                                    let (_x_2 : order) = List.hd _x_0 in
                                                                                                                                    let (_x_3 : int) = _x_2.o_qty in
                                                                                                                                    uncross_book {b_buys = List.tl _x_0; b_sells = List.tl _x_1}
                                                                                                                                    ({fill_client_id = _x_2.o_client_id; fill_qty = _x_3;
                                                                                                                                      fill_price = (_x_2.o_price + (List.hd _x_1).o_price) / 2;
                                                                                                                                      fill_order_id = _x_2.o_id; fill_order_done = true}
                                                                                                                                     :: fills)
                                                                                                                                    (filled_qty + _x_3)
                                                                                                                                    1
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • (List.hd b.b_buys).o_is_implied
                                                                                                                                    • not (List.hd b.b_sells).o_is_implied
                                                                                                                                    • (List.hd b.b_sells).o_qty - (List.hd b.b_buys).o_qty = 0
                                                                                                                                    • (List.hd b.b_buys).o_qty < (List.hd b.b_sells).o_qty
                                                                                                                                    • (List.hd b.b_buys).o_price >= (List.hd b.b_sells).o_price
                                                                                                                                    • b.b_buys <> []
                                                                                                                                    • b.b_sells <> []
                                                                                                                                    let (_x_0 : order list) = b.b_buys in
                                                                                                                                    let (_x_1 : order list) = b.b_sells in
                                                                                                                                    let (_x_2 : order) = List.hd _x_1 in
                                                                                                                                    let (_x_3 : order) = List.hd _x_0 in
                                                                                                                                    let (_x_4 : int) = _x_3.o_qty in
                                                                                                                                    uncross_book {b_buys = List.tl _x_0; b_sells = List.tl _x_1}
                                                                                                                                    ({fill_client_id = _x_2.o_client_id; fill_qty = _x_4;
                                                                                                                                      fill_price = (_x_3.o_price + _x_2.o_price) / 2; fill_order_id = _x_2.o_id;
                                                                                                                                      fill_order_done = true}
                                                                                                                                     :: fills)
                                                                                                                                    (filled_qty + _x_4)
                                                                                                                                    0
                                                                                                                                    • fills = []
                                                                                                                                    • filled_qty = 0
                                                                                                                                    • not (List.hd b.b_buys).o_is_implied
                                                                                                                                    • not (List.hd b.b_sells).o_is_implied
                                                                                                                                    • (List.hd b.b_sells).o_qty - (List.hd b.b_buys).o_qty = 0
                                                                                                                                    • (List.hd b.b_buys).o_qty < (List.hd b.b_sells).o_qty
                                                                                                                                    • (List.hd b.b_buys).o_price >= (List.hd b.b_sells).o_price
                                                                                                                                    • b.b_buys <> []
                                                                                                                                    • b.b_sells <> []
                                                                                                                                    let (_x_0 : order list) = b.b_buys in
                                                                                                                                    let (_x_1 : order list) = b.b_sells in
                                                                                                                                    let (_x_2 : order) = List.hd _x_1 in
                                                                                                                                    let (_x_3 : order) = List.hd _x_0 in
                                                                                                                                    let (_x_4 : int) = _x_3.o_qty in
                                                                                                                                    let (_x_5 : int) = (_x_3.o_price + _x_2.o_price) / 2 in
                                                                                                                                    uncross_book {b_buys = List.tl _x_0; b_sells = List.tl _x_1}
                                                                                                                                    ({fill_client_id = _x_2.o_client_id; fill_qty = _x_4; fill_price = _x_5;
                                                                                                                                      fill_order_id = _x_2.o_id; fill_order_done = true}
                                                                                                                                     ::
                                                                                                                                     ({fill_client_id = _x_3.o_client_id; fill_qty = _x_4; fill_price = _x_5;
                                                                                                                                       fill_order_id = _x_3.o_id; fill_order_done = true}
                                                                                                                                      :: fills))
                                                                                                                                    (filled_qty + _x_4)
                                                                                                                                    In [10]:
                                                                                                                                    (* Now let's try to generate some test cases *)
                                                                                                                                    
                                                                                                                                    (* This will auto-generate model extractor *)
                                                                                                                                    Extract.eval ~quiet:true ~signature:(Event.DB.fun_id_of_str (db()) "uncross_book") ();;
                                                                                                                                    
                                                                                                                                    #remove_doc doc_of_book;;
                                                                                                                                    #remove_doc doc_of_order;;
                                                                                                                                    Modular_decomp.get_regions d |> CCList.map (fun r -> r |> Modular_decomp.get_model |> Mex.of_model);;
                                                                                                                                    #install_doc doc_of_order;;
                                                                                                                                    #install_doc doc_of_book;;
                                                                                                                                    
                                                                                                                                    Out[10]:
                                                                                                                                                                                      - : unit
                                                                                                                                                =
                                                                                                                                                ()
                                                                                                                                    - : Mex.extract_type list =
                                                                                                                                    [{Mex.b =
                                                                                                                                       {b_buys =
                                                                                                                                         [{o_qty = 0; o_price = 7719; o_time = 2; o_id = 3; o_side = BUY;
                                                                                                                                           o_client_id = 4; o_inst = Strategy STRAT1; o_is_implied = false}];
                                                                                                                                        b_sells =
                                                                                                                                         [{o_qty = 1; o_price = 6483; o_time = 5; o_id = 6; o_side = BUY;
                                                                                                                                           o_client_id = 7; o_inst = Strategy STRAT1; o_is_implied = false}]};
                                                                                                                                      fills = []; filled_qty = 0};
                                                                                                                                     {Mex.b =
                                                                                                                                       {b_buys =
                                                                                                                                         [{o_qty = 0; o_price = 7719; o_time = 2; o_id = 3; o_side = BUY;
                                                                                                                                           o_client_id = 4; o_inst = Strategy STRAT1; o_is_implied = true}];
                                                                                                                                        b_sells =
                                                                                                                                         [{o_qty = 1; o_price = 6483; o_time = 5; o_id = 6; o_side = BUY;
                                                                                                                                           o_client_id = 7; o_inst = Strategy STRAT1; o_is_implied = false}]};
                                                                                                                                      fills = []; filled_qty = 0};
                                                                                                                                     {Mex.b =
                                                                                                                                       {b_buys =
                                                                                                                                         [{o_qty = 0; o_price = 7719; o_time = 3; o_id = 2; o_side = BUY;
                                                                                                                                           o_client_id = 4; o_inst = Strategy STRAT1; o_is_implied = false}];
                                                                                                                                        b_sells =
                                                                                                                                         [{o_qty = 1; o_price = 6483; o_time = 5; o_id = 6; o_side = BUY;
                                                                                                                                           o_client_id = 7; o_inst = Strategy STRAT1; o_is_implied = true}]};
                                                                                                                                      fills = []; filled_qty = 0};
                                                                                                                                     {Mex.b =
                                                                                                                                       {b_buys =
                                                                                                                                         [{o_qty = 0; o_price = 7719; o_time = 2; o_id = 3; o_side = BUY;
                                                                                                                                           o_client_id = 4; o_inst = Strategy STRAT1; o_is_implied = true}];
                                                                                                                                        b_sells =
                                                                                                                                         [{o_qty = 1; o_price = 6483; o_time = 5; o_id = 6; o_side = BUY;
                                                                                                                                           o_client_id = 7; o_inst = Strategy STRAT1; o_is_implied = true}]};
                                                                                                                                      fills = []; filled_qty = 0};
                                                                                                                                     {Mex.b =
                                                                                                                                       {b_buys =
                                                                                                                                         [{o_qty = 0; o_price = 38; o_time = 1; o_id = 3; o_side = BUY;
                                                                                                                                           o_client_id = 2; o_inst = Strategy STRAT1; o_is_implied = false}];
                                                                                                                                        b_sells =
                                                                                                                                         [{o_qty = 0; o_price = -7681; o_time = 4; o_id = 5; o_side = BUY;
                                                                                                                                           o_client_id = 6; o_inst = Strategy STRAT1; o_is_implied = false}]};
                                                                                                                                      fills = []; filled_qty = 0};
                                                                                                                                     {Mex.b =
                                                                                                                                       {b_buys =
                                                                                                                                         [{o_qty = 0; o_price = 38; o_time = 2; o_id = 3; o_side = BUY;
                                                                                                                                           o_client_id = 1; o_inst = Strategy STRAT1; o_is_implied = true}];
                                                                                                                                        b_sells =
                                                                                                                                         [{o_qty = 0; o_price = -7681; o_time = 4; o_id = 5; o_side = BUY;
                                                                                                                                           o_client_id = 6; o_inst = Strategy STRAT1; o_is_implied = false}]};
                                                                                                                                      fills = []; filled_qty = 0};
                                                                                                                                     {Mex.b =
                                                                                                                                       {b_buys =
                                                                                                                                         [{o_qty = 0; o_price = 38; o_time = 2; o_id = 1; o_side = BUY;
                                                                                                                                           o_client_id = 3; o_inst = Strategy STRAT1; o_is_implied = false}];
                                                                                                                                        b_sells =
                                                                                                                                         [{o_qty = 0; o_price = -7681; o_time = 6; o_id = 4; o_side = BUY;
                                                                                                                                           o_client_id = 5; o_inst = Strategy STRAT1; o_is_implied = true}]};
                                                                                                                                      fills = []; filled_qty = 0};
                                                                                                                                     {Mex.b =
                                                                                                                                       {b_buys =
                                                                                                                                         [{o_qty = 0; o_price = 38; o_time = 3; o_id = 1; o_side = BUY;
                                                                                                                                           o_client_id = 2; o_inst = Strategy STRAT1; o_is_implied = true}];
                                                                                                                                        b_sells =
                                                                                                                                         [{o_qty = 0; o_price = -7681; o_time = 5; o_id = 6; o_side = BUY;
                                                                                                                                           o_client_id = 4; o_inst = Strategy STRAT1; o_is_implied = true}]};
                                                                                                                                      fills = []; filled_qty = 0};
                                                                                                                                     {Mex.b =
                                                                                                                                       {b_buys =
                                                                                                                                         [{o_qty = 0; o_price = 7719; o_time = 2; o_id = 3; o_side = BUY;
                                                                                                                                           o_client_id = 4; o_inst = Strategy STRAT1; o_is_implied = false}];
                                                                                                                                        b_sells =
                                                                                                                                         [{o_qty = -1; o_price = 6483; o_time = 5; o_id = 6; o_side = BUY;
                                                                                                                                           o_client_id = 7; o_inst = Strategy STRAT1; o_is_implied = false}]};
                                                                                                                                      fills = []; filled_qty = 0};
                                                                                                                                     {Mex.b =
                                                                                                                                       {b_buys =
                                                                                                                                         [{o_qty = 0; o_price = 7719; o_time = 3; o_id = 2; o_side = BUY;
                                                                                                                                           o_client_id = 4; o_inst = Strategy STRAT1; o_is_implied = true}];
                                                                                                                                        b_sells =
                                                                                                                                         [{o_qty = -1; o_price = 6483; o_time = 7; o_id = 5; o_side = BUY;
                                                                                                                                           o_client_id = 6; o_inst = Strategy STRAT1; o_is_implied = false}]};
                                                                                                                                      fills = []; filled_qty = 0};
                                                                                                                                     {Mex.b =
                                                                                                                                       {b_buys =
                                                                                                                                         [{o_qty = 0; o_price = 7719; o_time = 2; o_id = 3; o_side = BUY;
                                                                                                                                           o_client_id = 4; o_inst = Strategy STRAT1; o_is_implied = false}];
                                                                                                                                        b_sells =
                                                                                                                                         [{o_qty = -1; o_price = 6483; o_time = 5; o_id = 6; o_side = BUY;
                                                                                                                                           o_client_id = 7; o_inst = Strategy STRAT1; o_is_implied = true}]};
                                                                                                                                      fills = []; filled_qty = 0};
                                                                                                                                     {Mex.b =
                                                                                                                                       {b_buys =
                                                                                                                                         [{o_qty = 0; o_price = 7719; o_time = 2; o_id = 3; o_side = BUY;
                                                                                                                                           o_client_id = 4; o_inst = ...; o_is_implied = ...}];
                                                                                                                                        b_sells = [...]};
                                                                                                                                      fills = []; filled_qty = 0};...;...;...;...]
                                                                                                                                    

                                                                                                                                    3 Implied trading

                                                                                                                                    3.1 Strategy ranking

                                                                                                                                    When generating implied orders for strategies, there's a criteria used to rank strategies - this section encodes the comparison function.

                                                                                                                                    In [11]:
                                                                                                                                    (* Calculate somehow how big the ratio is *)
                                                                                                                                    let leg_ratio (s : strategy) =
                                                                                                                                      let abs x = if x < 0 then -x else x in
                                                                                                                                      (abs s.leg1.leg_mult) + (abs s.leg2.leg_mult) + (abs s.leg3.leg_mult)
                                                                                                                                    ;;
                                                                                                                                    
                                                                                                                                    (* Nearest time to expiry *)
                                                                                                                                    let nearest_time_to_exp (s : strategy) =
                                                                                                                                      let exp =
                                                                                                                                        if (month_to_int (contract_expiry s.leg1.leg_sec_idx)) < (month_to_int (contract_expiry s.leg2.leg_sec_idx)) then
                                                                                                                                          contract_expiry s.leg1.leg_sec_idx
                                                                                                                                        else
                                                                                                                                          contract_expiry s.leg2.leg_sec_idx in
                                                                                                                                    
                                                                                                                                      if (month_to_int exp) < (month_to_int (contract_expiry s.leg2.leg_sec_idx)) then
                                                                                                                                        exp
                                                                                                                                      else
                                                                                                                                        contract_expiry s.leg2.leg_sec_idx
                                                                                                                                    ;;
                                                                                                                                    
                                                                                                                                    (* Return true if s1 should implied uncross before s2 *)
                                                                                                                                    let priority_strat (s1 : strategy) (s2 : strategy) =
                                                                                                                                      (*
                                                                                                                                        1. time to expiry of the nearest leg
                                                                                                                                        2. strategy types (strategies with the greater leg ratio executed first)
                                                                                                                                        3. strategy creation times *)
                                                                                                                                      if (month_to_int (nearest_time_to_exp s1)) < (month_to_int (nearest_time_to_exp s2)) then
                                                                                                                                        true
                                                                                                                                      else
                                                                                                                                        if (leg_ratio s1) > (leg_ratio s2) then
                                                                                                                                          true
                                                                                                                                        else
                                                                                                                                          s1.time_created <= s2.time_created
                                                                                                                                    
                                                                                                                                    Out[11]:
                                                                                                                                    val leg_ratio : strategy -> Z.t = <fun>
                                                                                                                                    val nearest_time_to_exp : strategy -> month = <fun>
                                                                                                                                    val priority_strat : strategy -> strategy -> bool = <fun>
                                                                                                                                    
                                                                                                                                    In [12]:
                                                                                                                                    let transitivity s1 s2 s3 =
                                                                                                                                     ((priority_strat s1 s2) && (priority_strat s2 s3)) ==> (priority_strat s1 s3)
                                                                                                                                    
                                                                                                                                    verify transitivity
                                                                                                                                    
                                                                                                                                    Out[12]:
                                                                                                                                    val transitivity : strategy -> strategy -> strategy -> bool = <fun>
                                                                                                                                    - : strategy -> strategy -> strategy -> bool = <fun>
                                                                                                                                    module CX : sig val s1 : strategy val s2 : strategy val s3 : strategy end
                                                                                                                                    
                                                                                                                                    Counterexample (after 0 steps, 0.029s):
                                                                                                                                    let s1 : strategy =
                                                                                                                                      {time_created = 0; leg1 = {leg_sec_idx = OUT3; leg_mult = 3328};
                                                                                                                                       leg2 = {leg_sec_idx = OUT3; leg_mult = 4197};
                                                                                                                                       leg3 = {leg_sec_idx = OUT1; leg_mult = 4679}}
                                                                                                                                    let s2 : strategy =
                                                                                                                                      {time_created = 8456; leg1 = {leg_sec_idx = OUT2; leg_mult = 878};
                                                                                                                                       leg2 = {leg_sec_idx = OUT3; leg_mult = 8879};
                                                                                                                                       leg3 = {leg_sec_idx = OUT1; leg_mult = 2446}}
                                                                                                                                    let s3 : strategy =
                                                                                                                                      {time_created = (-1); leg1 = {leg_sec_idx = OUT3; leg_mult = 5920};
                                                                                                                                       leg2 = {leg_sec_idx = OUT3; leg_mult = 6283};
                                                                                                                                       leg3 = {leg_sec_idx = OUT1; leg_mult = 1}}
                                                                                                                                    
                                                                                                                                    Refuted
                                                                                                                                    proof attempt
                                                                                                                                    ground_instances:0
                                                                                                                                    definitions:0
                                                                                                                                    inductions:0
                                                                                                                                    search_time:
                                                                                                                                    0.029s
                                                                                                                                    details:
                                                                                                                                    Expand
                                                                                                                                    smt_stats:
                                                                                                                                    arith offset eqs:24
                                                                                                                                    num checks:1
                                                                                                                                    arith assert lower:655
                                                                                                                                    arith tableau max rows:30
                                                                                                                                    arith tableau max columns:65
                                                                                                                                    arith pivots:49
                                                                                                                                    rlimit count:27919
                                                                                                                                    mk clause:573
                                                                                                                                    datatype occurs check:3
                                                                                                                                    mk bool var:1149
                                                                                                                                    arith assert upper:296
                                                                                                                                    datatype splits:106
                                                                                                                                    decisions:788
                                                                                                                                    arith row summations:169
                                                                                                                                    arith bound prop:7
                                                                                                                                    propagations:1170
                                                                                                                                    conflicts:40
                                                                                                                                    arith fixed eqs:163
                                                                                                                                    datatype accessor ax:17
                                                                                                                                    minimized lits:2
                                                                                                                                    arith conflicts:7
                                                                                                                                    arith num rows:30
                                                                                                                                    arith assert diseq:95
                                                                                                                                    datatype constructor ax:155
                                                                                                                                    num allocs:1115398077
                                                                                                                                    final checks:1
                                                                                                                                    added eqs:1750
                                                                                                                                    del clause:335
                                                                                                                                    arith eq adapter:334
                                                                                                                                    time:0.016000
                                                                                                                                    memory:7.480000
                                                                                                                                    max memory:8.200000
                                                                                                                                    Expand
                                                                                                                                    • start[0.029s]
                                                                                                                                        let (_x_0 : int) = ( :var_0: ).time_created in
                                                                                                                                        let (_x_1 : int) = ( :var_1: ).time_created in
                                                                                                                                        let (_x_2 : leg) = ( :var_0: ).leg1 in
                                                                                                                                        let (_x_3 : int) = _x_2.leg_mult in
                                                                                                                                        let (_x_4 : leg) = ( :var_0: ).leg2 in
                                                                                                                                        let (_x_5 : int) = _x_4.leg_mult in
                                                                                                                                        let (_x_6 : int) = ( :var_0: ).leg3.leg_mult in
                                                                                                                                        let (_x_7 : int)
                                                                                                                                            = (if _x_3 < 0 then ~- _x_3 else _x_3)
                                                                                                                                              + (if _x_5 < 0 then ~- _x_5 else _x_5)
                                                                                                                                              + (if _x_6 < 0 then ~- _x_6 else _x_6)
                                                                                                                                        in
                                                                                                                                        let (_x_8 : leg) = ( :var_1: ).leg1 in
                                                                                                                                        let (_x_9 : int) = _x_8.leg_mult in
                                                                                                                                        let (_x_10 : leg) = ( :var_1: ).leg2 in
                                                                                                                                        let (_x_11 : int) = _x_10.leg_mult in
                                                                                                                                        let (_x_12 : int) = ( :var_1: ).leg3.leg_mult in
                                                                                                                                        let (_x_13 : int)
                                                                                                                                            = (if _x_9 < 0 then ~- _x_9 else _x_9)
                                                                                                                                              + (if _x_11 < 0 then ~- _x_11 else _x_11)
                                                                                                                                              + (if _x_12 < 0 then ~- _x_12 else _x_12)
                                                                                                                                        in
                                                                                                                                        let (_x_14 : outright_id) = _x_4.leg_sec_idx in
                                                                                                                                        let (_x_15 : bool) = _x_14 = OUT1 in
                                                                                                                                        let (_x_16 : outright_id) = _x_2.leg_sec_idx in
                                                                                                                                        let (_x_17 : bool) = _x_16 = OUT1 in
                                                                                                                                        let (_x_18 : month)
                                                                                                                                            = if _x_17 then Mar else if _x_16 = OUT2 then Jun else Sep
                                                                                                                                        in
                                                                                                                                        let (_x_19 : month)
                                                                                                                                            = if _x_15 then Mar else if _x_14 = OUT2 then Jun else Sep
                                                                                                                                        in
                                                                                                                                        let (_x_20 : int)
                                                                                                                                            = if _x_19 = Mar then 3
                                                                                                                                              else if _x_19 = Jun then 6 else if _x_19 = Sep then 9 else 12
                                                                                                                                        in
                                                                                                                                        let (_x_21 : bool)
                                                                                                                                            = (if _x_18 = Mar then 3
                                                                                                                                               else if _x_18 = Jun then 6 else if _x_18 = Sep then 9 else 12)
                                                                                                                                              < _x_20
                                                                                                                                        in
                                                                                                                                        let (_x_22 : month) = if _x_21 then _x_18 else _x_19 in
                                                                                                                                        let (_x_23 : bool) = _x_22 = Jun in
                                                                                                                                        let (_x_24 : bool) = _x_22 = Mar in
                                                                                                                                        let (_x_25 : bool)
                                                                                                                                            = (if _x_24 then 3
                                                                                                                                               else
                                                                                                                                               if _x_23 then 6
                                                                                                                                               else
                                                                                                                                               if (if _x_21 then if _x_17 then Mar else …
                                                                                                                                                   else if _x_15 then Mar else …)
                                                                                                                                                  = Sep
                                                                                                                                               then 9 else 12)
                                                                                                                                              < _x_20
                                                                                                                                        in
                                                                                                                                        let (_x_26 : outright_id) = _x_10.leg_sec_idx in
                                                                                                                                        let (_x_27 : bool) = _x_26 = OUT1 in
                                                                                                                                        let (_x_28 : outright_id) = _x_8.leg_sec_idx in
                                                                                                                                        let (_x_29 : bool) = _x_28 = OUT1 in
                                                                                                                                        let (_x_30 : month)
                                                                                                                                            = if _x_29 then Mar else if _x_28 = OUT2 then Jun else Sep
                                                                                                                                        in
                                                                                                                                        let (_x_31 : bool) = _x_30 = Jun in
                                                                                                                                        let (_x_32 : bool) = _x_30 = Mar in
                                                                                                                                        let (_x_33 : month)
                                                                                                                                            = if _x_27 then Mar else if _x_26 = OUT2 then Jun else Sep
                                                                                                                                        in
                                                                                                                                        let (_x_34 : bool) = _x_33 = Jun in
                                                                                                                                        let (_x_35 : bool) = _x_33 = Mar in
                                                                                                                                        let (_x_36 : int)
                                                                                                                                            = if _x_35 then 3
                                                                                                                                              else
                                                                                                                                              if _x_34 then 6
                                                                                                                                              else if (if _x_27 then Mar else …) = Sep then 9 else 12
                                                                                                                                        in
                                                                                                                                        let (_x_37 : bool)
                                                                                                                                            = (if _x_32 then 3
                                                                                                                                               else
                                                                                                                                               if _x_31 then 6
                                                                                                                                               else if (if _x_29 then Mar else …) = Sep then 9 else 12)
                                                                                                                                              < _x_36
                                                                                                                                        in
                                                                                                                                        let (_x_38 : bool)
                                                                                                                                            = (if (if _x_37 then _x_30 else _x_33) = Mar then 3
                                                                                                                                               else
                                                                                                                                               if (if _x_37 then if _x_29 then Mar else …
                                                                                                                                                   else if _x_27 then Mar else …)
                                                                                                                                                  = Jun
                                                                                                                                               then 6 else if (if _x_37 then … else …) = Sep then 9 else 12)
                                                                                                                                              < _x_36
                                                                                                                                        in
                                                                                                                                        let (_x_39 : int)
                                                                                                                                            = if _x_35 then 3
                                                                                                                                              else if _x_34 then 6 else if _x_33 = Sep then 9 else 12
                                                                                                                                        in
                                                                                                                                        let (_x_40 : bool)
                                                                                                                                            = (if _x_32 then 3
                                                                                                                                               else if _x_31 then 6 else if _x_30 = Sep then 9 else 12)
                                                                                                                                              < _x_39
                                                                                                                                        in
                                                                                                                                        let (_x_41 : month) = if _x_40 then _x_30 else _x_33 in
                                                                                                                                        let (_x_42 : int)
                                                                                                                                            = if (if (if _x_41 = Mar then 3
                                                                                                                                                      else
                                                                                                                                                      if _x_41 = Jun then 6
                                                                                                                                                      else
                                                                                                                                                      if (if _x_40 then if _x_29 then Mar else …
                                                                                                                                                          else if _x_27 then Mar else …)
                                                                                                                                                         = Sep
                                                                                                                                                      then 9 else 12)
                                                                                                                                                     < _x_39
                                                                                                                                                  then _x_41 else _x_33)
                                                                                                                                                 = Mar
                                                                                                                                              then 3
                                                                                                                                              else
                                                                                                                                              if (if _x_38
                                                                                                                                                  then
                                                                                                                                                    if _x_37 then if _x_29 then Mar else …
                                                                                                                                                    else if _x_27 then Mar else …
                                                                                                                                                  else _x_33)
                                                                                                                                                 = Jun
                                                                                                                                              then 6
                                                                                                                                              else
                                                                                                                                              if (if _x_38 then if _x_37 then … else …
                                                                                                                                                  else if _x_27 then Mar else …)
                                                                                                                                                 = Sep
                                                                                                                                              then 9 else 12
                                                                                                                                        in
                                                                                                                                        let (_x_43 : int) = ( :var_2: ).time_created in
                                                                                                                                        let (_x_44 : leg) = ( :var_2: ).leg1 in
                                                                                                                                        let (_x_45 : int) = _x_44.leg_mult in
                                                                                                                                        let (_x_46 : leg) = ( :var_2: ).leg2 in
                                                                                                                                        let (_x_47 : int) = _x_46.leg_mult in
                                                                                                                                        let (_x_48 : int) = ( :var_2: ).leg3.leg_mult in
                                                                                                                                        let (_x_49 : int)
                                                                                                                                            = (if _x_45 < 0 then ~- _x_45 else _x_45)
                                                                                                                                              + (if _x_47 < 0 then ~- _x_47 else _x_47)
                                                                                                                                              + (if _x_48 < 0 then ~- _x_48 else _x_48)
                                                                                                                                        in
                                                                                                                                        let (_x_50 : outright_id) = _x_46.leg_sec_idx in
                                                                                                                                        let (_x_51 : bool) = _x_50 = OUT1 in
                                                                                                                                        let (_x_52 : outright_id) = _x_44.leg_sec_idx in
                                                                                                                                        let (_x_53 : bool) = _x_52 = OUT1 in
                                                                                                                                        let (_x_54 : month)
                                                                                                                                            = if _x_53 then Mar else if _x_52 = OUT2 then Jun else Sep
                                                                                                                                        in
                                                                                                                                        let (_x_55 : month)
                                                                                                                                            = if _x_51 then Mar else if _x_50 = OUT2 then Jun else Sep
                                                                                                                                        in
                                                                                                                                        let (_x_56 : int)
                                                                                                                                            = if _x_55 = Mar then 3
                                                                                                                                              else if _x_55 = Jun then 6 else if _x_55 = Sep then 9 else 12
                                                                                                                                        in
                                                                                                                                        let (_x_57 : bool)
                                                                                                                                            = (if _x_54 = Mar then 3
                                                                                                                                               else if _x_54 = Jun then 6 else if _x_54 = Sep then 9 else 12)
                                                                                                                                              < _x_56
                                                                                                                                        in
                                                                                                                                        let (_x_58 : month) = if _x_57 then _x_54 else _x_55 in
                                                                                                                                        let (_x_59 : bool)
                                                                                                                                            = (if _x_58 = Mar then 3
                                                                                                                                               else
                                                                                                                                               if _x_58 = Jun then 6
                                                                                                                                               else
                                                                                                                                               if (if _x_57 then if _x_53 then Mar else …
                                                                                                                                                   else if _x_51 then Mar else …)
                                                                                                                                                  = Sep
                                                                                                                                               then 9 else 12)
                                                                                                                                              < _x_56
                                                                                                                                        in
                                                                                                                                        let (_x_60 : int)
                                                                                                                                            = if (if _x_59 then _x_58 else _x_55) = Mar then 3
                                                                                                                                              else
                                                                                                                                              if (if _x_59
                                                                                                                                                  then
                                                                                                                                                    if _x_57 then if _x_53 then Mar else …
                                                                                                                                                    else if _x_51 then Mar else …
                                                                                                                                                  else _x_55)
                                                                                                                                                 = Jun
                                                                                                                                              then 6
                                                                                                                                              else
                                                                                                                                              if (if _x_59 then if _x_57 then … else …
                                                                                                                                                  else if _x_51 then Mar else …)
                                                                                                                                                 = Sep
                                                                                                                                              then 9 else 12
                                                                                                                                        in
                                                                                                                                        let (_x_61 : bool)
                                                                                                                                            = (if _x_24 then 3
                                                                                                                                               else
                                                                                                                                               if _x_23 then 6
                                                                                                                                               else
                                                                                                                                               if (if _x_21 then if _x_17 then Mar else …
                                                                                                                                                   else if _x_15 then Mar else …)
                                                                                                                                                  = Sep
                                                                                                                                               then 9 else 12)
                                                                                                                                              < _x_20
                                                                                                                                        in
                                                                                                                                        (if (if (if _x_25 then _x_22 else _x_19) = Mar then 3
                                                                                                                                             else
                                                                                                                                             if (if _x_25
                                                                                                                                                 then
                                                                                                                                                   if _x_21 then if _x_17 then Mar else …
                                                                                                                                                   else if _x_15 then Mar else …
                                                                                                                                                 else _x_19)
                                                                                                                                                = Jun
                                                                                                                                             then 6
                                                                                                                                             else
                                                                                                                                             if (if _x_25 then if _x_21 then … else …
                                                                                                                                                 else if _x_15 then Mar else …)
                                                                                                                                                = Sep
                                                                                                                                             then 9 else 12)
                                                                                                                                            < _x_42
                                                                                                                                         then true else if _x_7 > _x_13 then true else _x_0 <= _x_1)
                                                                                                                                        && (if _x_42 < _x_60 then true
                                                                                                                                            else if _x_13 > _x_49 then true else _x_1 <= _x_43)
                                                                                                                                        ==> (if (if (if _x_61 then _x_22 else _x_19) = Mar then 3
                                                                                                                                                 else
                                                                                                                                                 if (if _x_61
                                                                                                                                                     then
                                                                                                                                                       if _x_21 then if _x_17 then Mar else …
                                                                                                                                                       else if _x_15 then Mar else …
                                                                                                                                                     else _x_19)
                                                                                                                                                    = Jun
                                                                                                                                                 then 6
                                                                                                                                                 else
                                                                                                                                                 if (if _x_61 then if _x_21 then … else …
                                                                                                                                                     else if _x_15 then Mar else …)
                                                                                                                                                    = Sep
                                                                                                                                                 then 9 else 12)
                                                                                                                                                < _x_60
                                                                                                                                             then true else if _x_7 > _x_49 then true else _x_0 <= _x_43)
                                                                                                                                    • simplify

                                                                                                                                      into:
                                                                                                                                      let (_x_0 : int) = ( :var_0: ).time_created in
                                                                                                                                      let (_x_1 : int) = ( :var_2: ).time_created in
                                                                                                                                      let (_x_2 : leg) = ( :var_2: ).leg1 in
                                                                                                                                      let (_x_3 : outright_id) = _x_2.leg_sec_idx in
                                                                                                                                      let (_x_4 : bool) = _x_3 = OUT1 in
                                                                                                                                      let (_x_5 : leg) = ( :var_2: ).leg2 in
                                                                                                                                      let (_x_6 : outright_id) = _x_5.leg_sec_idx in
                                                                                                                                      let (_x_7 : bool) = _x_6 = OUT1 in
                                                                                                                                      let (_x_8 : month) = if _x_7 then Mar else if _x_6 = OUT2 then Jun else Sep
                                                                                                                                      in
                                                                                                                                      let (_x_9 : int)
                                                                                                                                          = if _x_8 = Mar then 3
                                                                                                                                            else if _x_8 = Jun then 6 else if _x_8 = Sep then 9 else 12
                                                                                                                                      in
                                                                                                                                      let (_x_10 : month) = if _x_4 then Mar else if _x_3 = OUT2 then Jun else Sep
                                                                                                                                      in
                                                                                                                                      let (_x_11 : bool)
                                                                                                                                          = _x_9 <=
                                                                                                                                            (if _x_10 = Mar then 3
                                                                                                                                             else if _x_10 = Jun then 6 else if _x_10 = Sep then 9 else 12)
                                                                                                                                      in
                                                                                                                                      let (_x_12 : month) = if _x_11 then _x_8 else _x_10 in
                                                                                                                                      let (_x_13 : bool)
                                                                                                                                          = _x_11
                                                                                                                                            || _x_9 <=
                                                                                                                                               (if _x_12 = Mar then 3
                                                                                                                                                else
                                                                                                                                                if _x_12 = Jun then 6
                                                                                                                                                else
                                                                                                                                                if (if _x_11 then if _x_7 then Mar else …
                                                                                                                                                    else if _x_4 then Mar else …)
                                                                                                                                                   = Sep
                                                                                                                                                then 9 else 12)
                                                                                                                                      in
                                                                                                                                      let (_x_14 : month) = if _x_13 then _x_8 else _x_10 in
                                                                                                                                      let (_x_15 : int)
                                                                                                                                          = if _x_14 = Mar then 3
                                                                                                                                            else
                                                                                                                                            if _x_14 = Jun then 6
                                                                                                                                            else
                                                                                                                                            if (if _x_13 then if _x_7 then Mar else …
                                                                                                                                                else if _x_4 then Mar else …)
                                                                                                                                               = Sep
                                                                                                                                            then 9 else 12
                                                                                                                                      in
                                                                                                                                      let (_x_16 : leg) = ( :var_0: ).leg1 in
                                                                                                                                      let (_x_17 : outright_id) = _x_16.leg_sec_idx in
                                                                                                                                      let (_x_18 : bool) = _x_17 = OUT1 in
                                                                                                                                      let (_x_19 : leg) = ( :var_0: ).leg2 in
                                                                                                                                      let (_x_20 : outright_id) = _x_19.leg_sec_idx in
                                                                                                                                      let (_x_21 : bool) = _x_20 = OUT1 in
                                                                                                                                      let (_x_22 : month)
                                                                                                                                          = if _x_21 then Mar else if _x_20 = OUT2 then Jun else Sep
                                                                                                                                      in
                                                                                                                                      let (_x_23 : int)
                                                                                                                                          = if _x_22 = Mar then 3
                                                                                                                                            else if _x_22 = Jun then 6 else if _x_22 = Sep then 9 else 12
                                                                                                                                      in
                                                                                                                                      let (_x_24 : month)
                                                                                                                                          = if _x_18 then Mar else if _x_17 = OUT2 then Jun else Sep
                                                                                                                                      in
                                                                                                                                      let (_x_25 : bool)
                                                                                                                                          = _x_23 <=
                                                                                                                                            (if _x_24 = Mar then 3
                                                                                                                                             else if _x_24 = Jun then 6 else if _x_24 = Sep then 9 else 12)
                                                                                                                                      in
                                                                                                                                      let (_x_26 : month) = if _x_25 then _x_22 else _x_24 in
                                                                                                                                      let (_x_27 : bool)
                                                                                                                                          = _x_25
                                                                                                                                            || _x_23 <=
                                                                                                                                               (if _x_26 = Mar then 3
                                                                                                                                                else
                                                                                                                                                if _x_26 = Jun then 6
                                                                                                                                                else
                                                                                                                                                if (if _x_25 then if _x_21 then Mar else …
                                                                                                                                                    else if _x_18 then Mar else …)
                                                                                                                                                   = Sep
                                                                                                                                                then 9 else 12)
                                                                                                                                      in
                                                                                                                                      let (_x_28 : month) = if _x_27 then _x_22 else _x_24 in
                                                                                                                                      let (_x_29 : int)
                                                                                                                                          = if _x_28 = Mar then 3
                                                                                                                                            else
                                                                                                                                            if _x_28 = Jun then 6
                                                                                                                                            else
                                                                                                                                            if (if _x_27 then if _x_21 then Mar else …
                                                                                                                                                else if _x_18 then Mar else …)
                                                                                                                                               = Sep
                                                                                                                                            then 9 else 12
                                                                                                                                      in
                                                                                                                                      let (_x_30 : int) = _x_16.leg_mult in
                                                                                                                                      let (_x_31 : int) = _x_19.leg_mult in
                                                                                                                                      let (_x_32 : int) = ( :var_0: ).leg3.leg_mult in
                                                                                                                                      let (_x_33 : int)
                                                                                                                                          = (if 0 <= _x_30 then _x_30 else (-1) * _x_30)
                                                                                                                                            + (if 0 <= _x_31 then _x_31 else (-1) * _x_31)
                                                                                                                                            + (if 0 <= _x_32 then _x_32 else (-1) * _x_32)
                                                                                                                                      in
                                                                                                                                      let (_x_34 : int) = _x_2.leg_mult in
                                                                                                                                      let (_x_35 : int) = _x_5.leg_mult in
                                                                                                                                      let (_x_36 : int) = ( :var_2: ).leg3.leg_mult in
                                                                                                                                      let (_x_37 : int)
                                                                                                                                          = (if 0 <= _x_34 then _x_34 else (-1) * _x_34)
                                                                                                                                            + (if 0 <= _x_35 then _x_35 else (-1) * _x_35)
                                                                                                                                            + (if 0 <= _x_36 then _x_36 else (-1) * _x_36)
                                                                                                                                      in
                                                                                                                                      let (_x_38 : int) = ( :var_1: ).time_created in
                                                                                                                                      let (_x_39 : leg) = ( :var_1: ).leg1 in
                                                                                                                                      let (_x_40 : outright_id) = _x_39.leg_sec_idx in
                                                                                                                                      let (_x_41 : bool) = _x_40 = OUT1 in
                                                                                                                                      let (_x_42 : leg) = ( :var_1: ).leg2 in
                                                                                                                                      let (_x_43 : outright_id) = _x_42.leg_sec_idx in
                                                                                                                                      let (_x_44 : bool) = _x_43 = OUT1 in
                                                                                                                                      let (_x_45 : month)
                                                                                                                                          = if _x_44 then Mar else if _x_43 = OUT2 then Jun else Sep
                                                                                                                                      in
                                                                                                                                      let (_x_46 : int)
                                                                                                                                          = if _x_45 = Mar then 3
                                                                                                                                            else if _x_45 = Jun then 6 else if _x_45 = Sep then 9 else 12
                                                                                                                                      in
                                                                                                                                      let (_x_47 : month)
                                                                                                                                          = if _x_41 then Mar else if _x_40 = OUT2 then Jun else Sep
                                                                                                                                      in
                                                                                                                                      let (_x_48 : bool)
                                                                                                                                          = _x_46 <=
                                                                                                                                            (if _x_47 = Mar then 3
                                                                                                                                             else if _x_47 = Jun then 6 else if _x_47 = Sep then 9 else 12)
                                                                                                                                      in
                                                                                                                                      let (_x_49 : month) = if _x_48 then _x_45 else _x_47 in
                                                                                                                                      let (_x_50 : bool)
                                                                                                                                          = _x_48
                                                                                                                                            || _x_46 <=
                                                                                                                                               (if _x_49 = Mar then 3
                                                                                                                                                else
                                                                                                                                                if _x_49 = Jun then 6
                                                                                                                                                else
                                                                                                                                                if (if _x_48 then if _x_44 then Mar else …
                                                                                                                                                    else if _x_41 then Mar else …)
                                                                                                                                                   = Sep
                                                                                                                                                then 9 else 12)
                                                                                                                                      in
                                                                                                                                      let (_x_51 : month) = if _x_50 then _x_45 else _x_47 in
                                                                                                                                      let (_x_52 : int)
                                                                                                                                          = if _x_51 = Mar then 3
                                                                                                                                            else
                                                                                                                                            if _x_51 = Jun then 6
                                                                                                                                            else
                                                                                                                                            if (if _x_50 then if _x_44 then Mar else …
                                                                                                                                                else if _x_41 then Mar else …)
                                                                                                                                               = Sep
                                                                                                                                            then 9 else 12
                                                                                                                                      in
                                                                                                                                      let (_x_53 : int) = _x_39.leg_mult in
                                                                                                                                      let (_x_54 : int) = _x_42.leg_mult in
                                                                                                                                      let (_x_55 : int) = ( :var_1: ).leg3.leg_mult in
                                                                                                                                      let (_x_56 : int)
                                                                                                                                          = (if 0 <= _x_53 then _x_53 else (-1) * _x_53)
                                                                                                                                            + (if 0 <= _x_54 then _x_54 else (-1) * _x_54)
                                                                                                                                            + (if 0 <= _x_55 then _x_55 else (-1) * _x_55)
                                                                                                                                      in
                                                                                                                                      ((_x_0 <= _x_1 || not (_x_15 <= _x_29)) || not (_x_33 <= _x_37))
                                                                                                                                      || not
                                                                                                                                         (((_x_0 <= _x_38 || not (_x_52 <= _x_29)) || not (_x_33 <= _x_56))
                                                                                                                                          && ((_x_38 <= _x_1 || not (_x_15 <= _x_52)) || not (_x_56 <= _x_37)))
                                                                                                                                      expansions:
                                                                                                                                      []
                                                                                                                                      rewrite_steps:
                                                                                                                                        forward_chaining:
                                                                                                                                        • Sat (Some let s1 : strategy = {time_created = (Z.of_nativeint (0n)); leg1 = {leg_sec_idx = OUT3; leg_mult = (Z.of_nativeint (3328n))}; leg2 = {leg_sec_idx = OUT3; leg_mult = (Z.of_nativeint (4197n))}; leg3 = {leg_sec_idx = OUT1; leg_mult = (Z.of_nativeint (4679n))}} let s2 : strategy = {time_created = (Z.of_nativeint (8456n)); leg1 = {leg_sec_idx = OUT2; leg_mult = (Z.of_nativeint (878n))}; leg2 = {leg_sec_idx = OUT3; leg_mult = (Z.of_nativeint (8879n))}; leg3 = {leg_sec_idx = OUT1; leg_mult = (Z.of_nativeint (2446n))}} let s3 : strategy = {time_created = (Z.of_nativeint (-1n)); leg1 = {leg_sec_idx = OUT3; leg_mult = (Z.of_nativeint (5920n))}; leg2 = {leg_sec_idx = OUT3; leg_mult = (Z.of_nativeint (6283n))}; leg3 = {leg_sec_idx = OUT1; leg_mult = (Z.of_nativeint (1n))}} )

                                                                                                                                        Ooops! It seems that our ranking criteria is not transitive. Let's check the results (note that the counter examples are now reflected into the run time in the CX module)

                                                                                                                                        In [13]:
                                                                                                                                        priority_strat CX.s1 CX.s2
                                                                                                                                        
                                                                                                                                        Out[13]:
                                                                                                                                        - : bool = true
                                                                                                                                        
                                                                                                                                        In [14]:
                                                                                                                                        priority_strat CX.s2 CX.s3
                                                                                                                                        
                                                                                                                                        Out[14]:
                                                                                                                                        - : bool = true
                                                                                                                                        
                                                                                                                                        In [15]:
                                                                                                                                        priority_strat CX.s1 CX.s3
                                                                                                                                        
                                                                                                                                        Out[15]:
                                                                                                                                        - : bool = false
                                                                                                                                        

                                                                                                                                        3.2 Implied strategy price calculation

                                                                                                                                        In [16]:
                                                                                                                                        (* return the sum of volume at the highest level *)
                                                                                                                                        let rec get_level_sums (orders : order list) (li : level_info option) =
                                                                                                                                          match orders with
                                                                                                                                          | [] -> li
                                                                                                                                          | x::xs ->
                                                                                                                                            begin
                                                                                                                                              match li with
                                                                                                                                              | None -> get_level_sums xs (Some {li_qty = x.o_qty; li_price = x.o_price})
                                                                                                                                              | Some l ->
                                                                                                                                                if (l.li_price = x.o_price) then
                                                                                                                                                  get_level_sums xs (Some {l with li_qty = l.li_qty + x.o_qty})
                                                                                                                                                else
                                                                                                                                                  li
                                                                                                                                            end
                                                                                                                                        
                                                                                                                                        (* Return best bid/ask levels *)
                                                                                                                                        let get_book_tops (b : book) =
                                                                                                                                          let bid_info = get_level_sums b.b_buys None in
                                                                                                                                          let ask_info = get_level_sums b.b_sells None in
                                                                                                                                          { bid_info; ask_info }
                                                                                                                                        ;;
                                                                                                                                        
                                                                                                                                        (* Get the maximum number of strategy units here *)
                                                                                                                                        (* Note that the units may have different signs, so we
                                                                                                                                         need to make sure that we have enough *)
                                                                                                                                        let calc_implied_strat_order (sid : strategy_id) (s : strategy) (books : books_info) (si : side) (time : int) =
                                                                                                                                          let abs x = if x < 0 then -x else x in
                                                                                                                                        
                                                                                                                                          let adjust (mult : int) =
                                                                                                                                            if si = BUY then mult else -mult in
                                                                                                                                        
                                                                                                                                          (* *)
                                                                                                                                          let calc_max_out_mult (mult : int) (book : best_bid_ask)  =
                                                                                                                                            if mult = 0 then
                                                                                                                                              None
                                                                                                                                            else
                                                                                                                                              begin
                                                                                                                                               if (adjust mult) > 0 then
                                                                                                                                                match books.book1.bid_info with
                                                                                                                                                   | Some x -> Some (x.li_qty / (abs mult))
                                                                                                                                                   | None -> None
                                                                                                                                               else
                                                                                                                                                   match book.ask_info with
                                                                                                                                                   | Some x -> Some (x.li_qty / (abs mult))
                                                                                                                                                   | None -> None
                                                                                                                                              end in
                                                                                                                                        
                                                                                                                                          let mult1 = calc_max_out_mult s.leg1.leg_mult books.book1 in
                                                                                                                                          let mult2 = calc_max_out_mult s.leg2.leg_mult books.book2 in
                                                                                                                                          let mult3 = calc_max_out_mult s.leg3.leg_mult books.book3 in
                                                                                                                                        
                                                                                                                                          (* Compute the quantity *)
                                                                                                                                          let max_strat =
                                                                                                                                            begin
                                                                                                                                               match mult1 with
                                                                                                                                               | None -> 0
                                                                                                                                               | Some x -> x
                                                                                                                                            end in
                                                                                                                                          let max_strat =
                                                                                                                                            begin
                                                                                                                                               match mult2 with
                                                                                                                                               | None -> max_strat
                                                                                                                                               | Some x -> if x < max_strat then x else max_strat
                                                                                                                                            end in
                                                                                                                                          let max_strat =
                                                                                                                                            begin
                                                                                                                                             match mult3 with
                                                                                                                                             | None -> max_strat
                                                                                                                                             | Some x -> if x < max_strat then x else max_strat
                                                                                                                                            end in
                                                                                                                                        
                                                                                                                                          (* Now compute the price *)
                                                                                                                                          let strat_price =
                                                                                                                                            begin
                                                                                                                                               match mult1 with
                                                                                                                                               | None -> 0
                                                                                                                                               | Some x ->
                                                                                                                                                 begin
                                                                                                                                                    if (adjust s.leg1.leg_mult) > 0 then
                                                                                                                                                        match books.book1.bid_info with
                                                                                                                                                        | Some x -> x.li_price * (adjust s.leg1.leg_mult)
                                                                                                                                                        | None -> 0
                                                                                                                                                    else
                                                                                                                                                        match books.book1.ask_info with
                                                                                                                                                        | Some x -> x.li_price * (adjust s.leg1.leg_mult)
                                                                                                                                                        | None -> 0
                                                                                                                                                 end
                                                                                                                                            end in
                                                                                                                                          let strat_price =
                                                                                                                                            begin
                                                                                                                                               match mult2 with
                                                                                                                                               | None -> strat_price
                                                                                                                                               | Some x ->
                                                                                                                                                 begin
                                                                                                                                                    if (adjust s.leg2.leg_mult) > 0 then
                                                                                                                                                        match books.book2.bid_info with
                                                                                                                                                        | Some x -> x.li_price * (adjust s.leg2.leg_mult) + strat_price
                                                                                                                                                        | None -> strat_price
                                                                                                                                                    else
                                                                                                                                                        match books.book2.ask_info with
                                                                                                                                                        | Some x -> x.li_price * (adjust s.leg2.leg_mult) + strat_price
                                                                                                                                                        | None -> strat_price
                                                                                                                                                 end
                                                                                                                                            end in
                                                                                                                                          let strat_price =
                                                                                                                                            begin
                                                                                                                                               match mult3 with
                                                                                                                                               | None -> strat_price
                                                                                                                                               | Some x ->
                                                                                                                                                 begin
                                                                                                                                                    if (adjust s.leg3.leg_mult) > 0 then
                                                                                                                                                        match books.book3.bid_info with
                                                                                                                                                        | Some x -> x.li_price * (adjust s.leg3.leg_mult) + strat_price
                                                                                                                                                        | None -> strat_price
                                                                                                                                                    else
                                                                                                                                                        match books.book3.ask_info with
                                                                                                                                                        | Some x -> x.li_price * (adjust s.leg3.leg_mult) + strat_price
                                                                                                                                                        | None -> strat_price
                                                                                                                                                 end
                                                                                                                                            end in
                                                                                                                                        
                                                                                                                                          (* Now form the new implied order here... *)
                                                                                                                                          {
                                                                                                                                           o_qty = max_strat
                                                                                                                                           ; o_price = strat_price
                                                                                                                                           ; o_id = -1
                                                                                                                                           ; o_time = time
                                                                                                                                           ; o_side = si
                                                                                                                                           ; o_client_id = -1
                                                                                                                                           ; o_inst = Strategy sid
                                                                                                                                           ; o_is_implied = true }
                                                                                                                                        ;;
                                                                                                                                        
                                                                                                                                        Out[16]:
                                                                                                                                        val get_level_sums : order list -> level_info option -> level_info option =
                                                                                                                                          <fun>
                                                                                                                                        val get_book_tops : book -> best_bid_ask = <fun>
                                                                                                                                        val calc_implied_strat_order :
                                                                                                                                          strategy_id -> strategy -> books_info -> side -> Z.t -> order = <fun>
                                                                                                                                        
                                                                                                                                        termination proof

                                                                                                                                        Termination proof

                                                                                                                                        call `let (_x_0 : order) = List.hd orders in get_level_sums (List.tl orders) (Some {li_qty = _x_0.o_qty; li_price = _x_0.o_price})` from `get_level_sums orders li`
                                                                                                                                        original:get_level_sums orders li
                                                                                                                                        sub:let (_x_0 : order) = List.hd orders in get_level_sums (List.tl orders) (Some {li_qty = _x_0.o_qty; li_price = _x_0.o_price})
                                                                                                                                        original ordinal:Ordinal.Int (_cnt orders)
                                                                                                                                        sub ordinal:Ordinal.Int (_cnt (List.tl orders))
                                                                                                                                        path:[Is_a(None, li) && orders <> []]
                                                                                                                                        proof:
                                                                                                                                        detailed proof
                                                                                                                                        ground_instances:2
                                                                                                                                        definitions:0
                                                                                                                                        inductions:0
                                                                                                                                        search_time:
                                                                                                                                        0.013s
                                                                                                                                        details:
                                                                                                                                        Expand
                                                                                                                                        smt_stats:
                                                                                                                                        arith offset eqs:6
                                                                                                                                        num checks:6
                                                                                                                                        arith assert lower:57
                                                                                                                                        arith tableau max rows:11
                                                                                                                                        arith tableau max columns:28
                                                                                                                                        arith pivots:35
                                                                                                                                        rlimit count:37649
                                                                                                                                        mk clause:71
                                                                                                                                        datatype occurs check:26
                                                                                                                                        mk bool var:259
                                                                                                                                        arith assert upper:58
                                                                                                                                        datatype splits:42
                                                                                                                                        decisions:65
                                                                                                                                        arith row summations:66
                                                                                                                                        arith bound prop:8
                                                                                                                                        propagations:77
                                                                                                                                        conflicts:19
                                                                                                                                        arith fixed eqs:19
                                                                                                                                        datatype accessor ax:33
                                                                                                                                        minimized lits:6
                                                                                                                                        arith conflicts:9
                                                                                                                                        arith num rows:11
                                                                                                                                        arith assert diseq:4
                                                                                                                                        datatype constructor ax:53
                                                                                                                                        num allocs:1247686159
                                                                                                                                        final checks:4
                                                                                                                                        added eqs:283
                                                                                                                                        del clause:38
                                                                                                                                        arith eq adapter:44
                                                                                                                                        memory:7.750000
                                                                                                                                        max memory:8.200000
                                                                                                                                        Expand
                                                                                                                                        • start[0.013s]
                                                                                                                                            let (_x_0 : int) = count.list count.order orders in
                                                                                                                                            let (_x_1 : order list) = List.tl orders in
                                                                                                                                            let (_x_2 : int) = count.list count.order _x_1 in
                                                                                                                                            Is_a(None, li) && orders <> [] && _x_0 >= 0 && _x_2 >= 0
                                                                                                                                            ==> not ((List.hd orders).o_price = (List.hd _x_1).o_price && _x_1 <> [])
                                                                                                                                                || Ordinal.( << ) (Ordinal.Int _x_2) (Ordinal.Int _x_0)
                                                                                                                                        • simplify
                                                                                                                                          into:
                                                                                                                                          let (_x_0 : order list) = List.tl orders in
                                                                                                                                          let (_x_1 : int) = count.list count.order _x_0 in
                                                                                                                                          let (_x_2 : int) = count.list count.order orders in
                                                                                                                                          (Ordinal.( << ) (Ordinal.Int _x_1) (Ordinal.Int _x_2)
                                                                                                                                           || not (((Is_a(None, li) && orders <> []) && _x_2 >= 0) && _x_1 >= 0))
                                                                                                                                          || not ((List.hd orders).o_price = (List.hd _x_0).o_price && _x_0 <> [])
                                                                                                                                          expansions:
                                                                                                                                          []
                                                                                                                                          rewrite_steps:
                                                                                                                                            forward_chaining:
                                                                                                                                            • unroll
                                                                                                                                              expr:
                                                                                                                                              (|Ordinal.<<_129/client|
                                                                                                                                                (|Ordinal.Int_114/client|
                                                                                                                                                  (|count.list_3523/server| (|get.::.1_3504/s…
                                                                                                                                              expansions:
                                                                                                                                              • unroll
                                                                                                                                                expr:
                                                                                                                                                (|count.list_3523/server| orders_3508/server)
                                                                                                                                                expansions:
                                                                                                                                                • Unsat
                                                                                                                                                call `let (_x_0 : level_info) = Option.get li in get_level_sums (List.tl orders) (Some {_x_0 with li_qty = _x_0.li_qty + (List.hd orders).o_qty})` from `get_level_sums orders li`
                                                                                                                                                original:get_level_sums orders li
                                                                                                                                                sub:let (_x_0 : level_info) = Option.get li in get_level_sums (List.tl orders) (Some {_x_0 with li_qty = _x_0.li_qty + (List.hd orders).o_qty})
                                                                                                                                                original ordinal:Ordinal.Int (_cnt orders)
                                                                                                                                                sub ordinal:Ordinal.Int (_cnt (List.tl orders))
                                                                                                                                                path:[(Option.get li).li_price = (List.hd orders).o_price && not Is_a(None, li) && orders <> []]
                                                                                                                                                proof:
                                                                                                                                                detailed proof
                                                                                                                                                ground_instances:2
                                                                                                                                                definitions:0
                                                                                                                                                inductions:0
                                                                                                                                                search_time:
                                                                                                                                                0.012s
                                                                                                                                                details:
                                                                                                                                                Expand
                                                                                                                                                smt_stats:
                                                                                                                                                num checks:6
                                                                                                                                                arith assert lower:29
                                                                                                                                                arith tableau max rows:8
                                                                                                                                                arith tableau max columns:25
                                                                                                                                                arith pivots:19
                                                                                                                                                rlimit count:32136
                                                                                                                                                mk clause:46
                                                                                                                                                datatype occurs check:18
                                                                                                                                                mk bool var:199
                                                                                                                                                arith assert upper:32
                                                                                                                                                datatype splits:30
                                                                                                                                                decisions:39
                                                                                                                                                arith row summations:32
                                                                                                                                                propagations:36
                                                                                                                                                conflicts:13
                                                                                                                                                arith fixed eqs:8
                                                                                                                                                datatype accessor ax:26
                                                                                                                                                minimized lits:5
                                                                                                                                                arith conflicts:6
                                                                                                                                                arith num rows:8
                                                                                                                                                arith assert diseq:2
                                                                                                                                                datatype constructor ax:44
                                                                                                                                                num allocs:1178397788
                                                                                                                                                final checks:4
                                                                                                                                                added eqs:209
                                                                                                                                                del clause:25
                                                                                                                                                arith eq adapter:23
                                                                                                                                                memory:7.720000
                                                                                                                                                max memory:8.200000
                                                                                                                                                Expand
                                                                                                                                                • start[0.012s]
                                                                                                                                                    let (_x_0 : int) = (Option.get li).li_price in
                                                                                                                                                    let (_x_1 : int) = count.list count.order orders in
                                                                                                                                                    let (_x_2 : order list) = List.tl orders in
                                                                                                                                                    let (_x_3 : int) = count.list count.order _x_2 in
                                                                                                                                                    _x_0 = (List.hd orders).o_price
                                                                                                                                                    && not Is_a(None, li) && orders <> [] && _x_1 >= 0 && _x_3 >= 0
                                                                                                                                                    ==> not (_x_0 = (List.hd _x_2).o_price && _x_2 <> [])
                                                                                                                                                        || Ordinal.( << ) (Ordinal.Int _x_3) (Ordinal.Int _x_1)
                                                                                                                                                • simplify
                                                                                                                                                  into:
                                                                                                                                                  let (_x_0 : int) = (Option.get li).li_price in
                                                                                                                                                  let (_x_1 : order list) = List.tl orders in
                                                                                                                                                  let (_x_2 : int) = count.list count.order _x_1 in
                                                                                                                                                  let (_x_3 : int) = count.list count.order orders in
                                                                                                                                                  (not (_x_0 = (List.hd _x_1).o_price && _x_1 <> [])
                                                                                                                                                   || Ordinal.( << ) (Ordinal.Int _x_2) (Ordinal.Int _x_3))
                                                                                                                                                  || not
                                                                                                                                                     ((((_x_0 = (List.hd orders).o_price && not Is_a(None, li)) && orders <> [])
                                                                                                                                                       && _x_3 >= 0)
                                                                                                                                                      && _x_2 >= 0)
                                                                                                                                                  expansions:
                                                                                                                                                  []
                                                                                                                                                  rewrite_steps:
                                                                                                                                                    forward_chaining:
                                                                                                                                                    • unroll
                                                                                                                                                      expr:
                                                                                                                                                      (|Ordinal.<<_129/client|
                                                                                                                                                        (|Ordinal.Int_114/client|
                                                                                                                                                          (|count.list_3523/server| (|get.::.1_3504/s…
                                                                                                                                                      expansions:
                                                                                                                                                      • unroll
                                                                                                                                                        expr:
                                                                                                                                                        (|count.list_3523/server| orders_3508/server)
                                                                                                                                                        expansions:
                                                                                                                                                        • Unsat

                                                                                                                                                        Let's now try to experiment with this.

                                                                                                                                                        In [17]:
                                                                                                                                                        let strat1 = {
                                                                                                                                                          time_created = 1;
                                                                                                                                                          leg1    = { leg_sec_idx = OUT1; leg_mult = 1 }
                                                                                                                                                          ; leg2  = { leg_sec_idx = OUT2; leg_mult = 0 }
                                                                                                                                                          ; leg3  = { leg_sec_idx = OUT3; leg_mult = 0 }
                                                                                                                                                        };;
                                                                                                                                                        
                                                                                                                                                        let books = {
                                                                                                                                                            book1 = { bid_info = None ; ask_info = Some { li_qty = 100 ; li_price = 450 }}
                                                                                                                                                          ; book2 = { bid_info = Some { li_qty = 125 ; li_price = 100 }; ask_info = Some { li_qty = 100 ; li_price = 350 }}
                                                                                                                                                          ; book3 = { bid_info = None ; ask_info = Some { li_qty = 100 ; li_price = 425 }}
                                                                                                                                                        };;
                                                                                                                                                        
                                                                                                                                                        (* This should just replicate the OUT1 security on the SELL side *)
                                                                                                                                                        calc_implied_strat_order STRAT1 strat1 books SELL 1
                                                                                                                                                        
                                                                                                                                                        Out[17]:
                                                                                                                                                        val strat1 : strategy =
                                                                                                                                                          {time_created = 1; leg1 = {leg_sec_idx = OUT1; leg_mult = 1};
                                                                                                                                                           leg2 = {leg_sec_idx = OUT2; leg_mult = 0};
                                                                                                                                                           leg3 = {leg_sec_idx = OUT3; leg_mult = 0}}
                                                                                                                                                        val books : books_info =
                                                                                                                                                          {book1 = {bid_info = None; ask_info = Some {li_qty = 100; li_price = 450}};
                                                                                                                                                           book2 =
                                                                                                                                                            {bid_info = Some {li_qty = 125; li_price = 100};
                                                                                                                                                             ask_info = Some {li_qty = 100; li_price = 350}};
                                                                                                                                                           book3 = {bid_info = None; ask_info = Some {li_qty = 100; li_price = 425}}}
                                                                                                                                                        - : order = <document>
                                                                                                                                                        
                                                                                                                                                        -450 (100)
                                                                                                                                                        Implied
                                                                                                                                                        In [18]:
                                                                                                                                                        (* Now let's try the same on the BUY side - there should not be any available orders as the bid is empty *)
                                                                                                                                                        calc_implied_strat_order STRAT1 strat1 books BUY 1
                                                                                                                                                        
                                                                                                                                                        Out[18]:
                                                                                                                                                        - : order = <document>
                                                                                                                                                        
                                                                                                                                                        0 (0)
                                                                                                                                                        Implied
                                                                                                                                                        In [19]:
                                                                                                                                                        (* let's try to mix up the legs now *)
                                                                                                                                                        
                                                                                                                                                        let strat2 = {
                                                                                                                                                         strat1 with
                                                                                                                                                         leg2 = {leg_sec_idx = OUT2; leg_mult = -1}
                                                                                                                                                        };;
                                                                                                                                                        
                                                                                                                                                        (* This will not result in any orders because there's no BUY *)
                                                                                                                                                        calc_implied_strat_order STRAT1 strat2 books BUY 1
                                                                                                                                                        
                                                                                                                                                        Out[19]:
                                                                                                                                                        val strat2 : strategy =
                                                                                                                                                          {time_created = 1; leg1 = {leg_sec_idx = OUT1; leg_mult = 1};
                                                                                                                                                           leg2 = {leg_sec_idx = OUT2; leg_mult = -1};
                                                                                                                                                           leg3 = {leg_sec_idx = OUT3; leg_mult = 0}}
                                                                                                                                                        - : order = <document>
                                                                                                                                                        
                                                                                                                                                        -350 (0)
                                                                                                                                                        Implied
                                                                                                                                                        In [20]:
                                                                                                                                                        calc_implied_strat_order STRAT2 strat2 books SELL 1
                                                                                                                                                        
                                                                                                                                                        Out[20]:
                                                                                                                                                        - : order = <document>
                                                                                                                                                        
                                                                                                                                                        -450 (100)
                                                                                                                                                        Implied
                                                                                                                                                        In [21]:
                                                                                                                                                        let strat = {
                                                                                                                                                          time_created = 1;
                                                                                                                                                          leg1    = { leg_sec_idx = OUT1; leg_mult = 1 }
                                                                                                                                                          ; leg2  = { leg_sec_idx = OUT2; leg_mult = -2 }
                                                                                                                                                          ; leg3  = { leg_sec_idx = OUT3; leg_mult = 0 }
                                                                                                                                                        };;
                                                                                                                                                        
                                                                                                                                                        let books = {
                                                                                                                                                            book1 = { bid_info = Some { li_qty = 500; li_price = 50 } ; ask_info = Some { li_qty = 750 ; li_price = 50 }}
                                                                                                                                                          ; book2 = { bid_info = Some { li_qty = 200 ; li_price = 60 }; ask_info = Some { li_qty = 500 ; li_price = 70 }}
                                                                                                                                                          ; book3 = { bid_info = None ; ask_info = None }
                                                                                                                                                        };;
                                                                                                                                                        
                                                                                                                                                        calc_implied_strat_order STRAT1 strat books BUY 1
                                                                                                                                                        
                                                                                                                                                        Out[21]:
                                                                                                                                                        val strat : strategy =
                                                                                                                                                          {time_created = 1; leg1 = {leg_sec_idx = OUT1; leg_mult = 1};
                                                                                                                                                           leg2 = {leg_sec_idx = OUT2; leg_mult = -2};
                                                                                                                                                           leg3 = {leg_sec_idx = OUT3; leg_mult = 0}}
                                                                                                                                                        val books : books_info =
                                                                                                                                                          {book1 =
                                                                                                                                                            {bid_info = Some {li_qty = 500; li_price = 50};
                                                                                                                                                             ask_info = Some {li_qty = 750; li_price = 50}};
                                                                                                                                                           book2 =
                                                                                                                                                            {bid_info = Some {li_qty = 200; li_price = 60};
                                                                                                                                                             ask_info = Some {li_qty = 500; li_price = 70}};
                                                                                                                                                           book3 = {bid_info = None; ask_info = None}}
                                                                                                                                                        - : order = <document>
                                                                                                                                                        
                                                                                                                                                        -90 (250)
                                                                                                                                                        Implied

                                                                                                                                                        3.3 Implied uncrossing operations

                                                                                                                                                        In [22]:
                                                                                                                                                        (* removes implied orders from a book *)
                                                                                                                                                        let remove_imp_orders (b : book) =
                                                                                                                                                          let rec remove_imp_orders_side (orders : order list) =
                                                                                                                                                            match orders with
                                                                                                                                                            | [] -> []
                                                                                                                                                            | x::xs ->
                                                                                                                                                                if x.o_is_implied then
                                                                                                                                                                  (remove_imp_orders_side xs)
                                                                                                                                                                else
                                                                                                                                                                  x::(remove_imp_orders_side xs) in
                                                                                                                                                        
                                                                                                                                                          { b_buys = (remove_imp_orders_side b.b_buys)
                                                                                                                                                          ; b_sells = (remove_imp_orders_side b.b_sells)
                                                                                                                                                          }
                                                                                                                                                        
                                                                                                                                                        (* Allocate implied fills to the book and return fills *)
                                                                                                                                                        let allocate_implied_fills (b : book) (qty : int) (price : int) (time : int) =
                                                                                                                                                          if qty = 0 then {
                                                                                                                                                            uncrossed_book = b
                                                                                                                                                            ; uncrossed_fills = []
                                                                                                                                                            ; uncrossed_qty = 0
                                                                                                                                                          } else
                                                                                                                                                          begin
                                                                                                                                                            (* Insert new order into the book and uncross it *)
                                                                                                                                                            let new_order = {
                                                                                                                                                              o_qty = if qty < 0 then (-qty) else qty
                                                                                                                                                              ; o_price = price
                                                                                                                                                              ; o_id = -1
                                                                                                                                                              ; o_time = time
                                                                                                                                                              ; o_side = if qty < 0 then SELL else BUY
                                                                                                                                                              ; o_client_id = -1
                                                                                                                                                              ; o_inst = Outright OUT1
                                                                                                                                                              ; o_is_implied = true
                                                                                                                                                            } in
                                                                                                                                                        
                                                                                                                                                            (* create new order that we will trade *)
                                                                                                                                                            let b' = insert_order new_order b in
                                                                                                                                                        
                                                                                                                                                            (* finally we will uncross the book and return results *)
                                                                                                                                                            (uncross_book b' [] 0)
                                                                                                                                                          end
                                                                                                                                                        
                                                                                                                                                        (* Calculate the price at which implied orders should trade in the outright books *)
                                                                                                                                                        let calc_implied_trade_price (mult : int) (bidask : best_bid_ask) =
                                                                                                                                                          if mult > 0 then
                                                                                                                                                           begin
                                                                                                                                                            match bidask.ask_info with
                                                                                                                                                              | None -> 0
                                                                                                                                                              | Some x -> x.li_price
                                                                                                                                                            end
                                                                                                                                                          else
                                                                                                                                                            begin
                                                                                                                                                                match bidask.bid_info with
                                                                                                                                                                  | None -> 0
                                                                                                                                                                  | Some x -> x.li_price
                                                                                                                                                            end
                                                                                                                                                        ;;
                                                                                                                                                        
                                                                                                                                                        Out[22]:
                                                                                                                                                        val remove_imp_orders : book -> book = <fun>
                                                                                                                                                        val allocate_implied_fills : book -> Z.t -> Z.t -> Z.t -> uncross_res = <fun>
                                                                                                                                                        val calc_implied_trade_price : Z.t -> best_bid_ask -> Z.t = <fun>
                                                                                                                                                        
                                                                                                                                                        termination proof

                                                                                                                                                        Termination proof

                                                                                                                                                        call `rec_fun.remove_imp_orders.remove_imp_orders_side.0 (List.tl orders)` from `rec_fun.remove_imp_orders.remove_imp_orders_side.0 orders`
                                                                                                                                                        original:rec_fun.remove_imp_orders.remove_imp_orders_side.0 orders
                                                                                                                                                        sub:rec_fun.remove_imp_orders.remove_imp_orders_side.0 (List.tl orders)
                                                                                                                                                        original ordinal:Ordinal.Int (_cnt orders)
                                                                                                                                                        sub ordinal:Ordinal.Int (_cnt (List.tl orders))
                                                                                                                                                        path:[(List.hd orders).o_is_implied && orders <> []]
                                                                                                                                                        proof:
                                                                                                                                                        detailed proof
                                                                                                                                                        ground_instances:2
                                                                                                                                                        definitions:0
                                                                                                                                                        inductions:0
                                                                                                                                                        search_time:
                                                                                                                                                        0.012s
                                                                                                                                                        details:
                                                                                                                                                        Expand
                                                                                                                                                        smt_stats:
                                                                                                                                                        num checks:6
                                                                                                                                                        arith assert lower:25
                                                                                                                                                        arith tableau max rows:10
                                                                                                                                                        arith tableau max columns:27
                                                                                                                                                        arith pivots:18
                                                                                                                                                        rlimit count:45776
                                                                                                                                                        mk clause:42
                                                                                                                                                        datatype occurs check:25
                                                                                                                                                        mk bool var:168
                                                                                                                                                        arith assert upper:13
                                                                                                                                                        datatype splits:26
                                                                                                                                                        decisions:35
                                                                                                                                                        arith row summations:46
                                                                                                                                                        propagations:32
                                                                                                                                                        conflicts:7
                                                                                                                                                        arith fixed eqs:11
                                                                                                                                                        datatype accessor ax:24
                                                                                                                                                        arith conflicts:2
                                                                                                                                                        arith num rows:10
                                                                                                                                                        datatype constructor ax:45
                                                                                                                                                        num allocs:1389891923
                                                                                                                                                        final checks:4
                                                                                                                                                        added eqs:196
                                                                                                                                                        del clause:20
                                                                                                                                                        arith eq adapter:13
                                                                                                                                                        memory:7.770000
                                                                                                                                                        max memory:8.200000
                                                                                                                                                        Expand
                                                                                                                                                        • start[0.012s]
                                                                                                                                                            let (_x_0 : int) = count.list count.order orders in
                                                                                                                                                            let (_x_1 : order list) = List.tl orders in
                                                                                                                                                            let (_x_2 : int) = count.list count.order _x_1 in
                                                                                                                                                            let (_x_3 : bool) = (List.hd _x_1).o_is_implied in
                                                                                                                                                            let (_x_4 : bool) = _x_1 <> [] in
                                                                                                                                                            (List.hd orders).o_is_implied && orders <> [] && _x_0 >= 0 && _x_2 >= 0
                                                                                                                                                            ==> not (_x_3 && _x_4) && not (not _x_3 && _x_4)
                                                                                                                                                                || Ordinal.( << ) (Ordinal.Int _x_2) (Ordinal.Int _x_0)
                                                                                                                                                        • simplify
                                                                                                                                                          into:
                                                                                                                                                          let (_x_0 : int) = count.list count.order orders in
                                                                                                                                                          let (_x_1 : order list) = List.tl orders in
                                                                                                                                                          let (_x_2 : int) = count.list count.order _x_1 in
                                                                                                                                                          let (_x_3 : bool) = (List.hd _x_1).o_is_implied in
                                                                                                                                                          let (_x_4 : bool) = _x_1 <> [] in
                                                                                                                                                          (not
                                                                                                                                                           ((((List.hd orders).o_is_implied && orders <> []) && _x_0 >= 0) && _x_2 >= 0)
                                                                                                                                                           || Ordinal.( << ) (Ordinal.Int _x_2) (Ordinal.Int _x_0))
                                                                                                                                                          || not (_x_3 && _x_4) && not (not _x_3 && _x_4)
                                                                                                                                                          expansions:
                                                                                                                                                          []
                                                                                                                                                          rewrite_steps:
                                                                                                                                                            forward_chaining:
                                                                                                                                                            • unroll
                                                                                                                                                              expr:
                                                                                                                                                              (|count.list_3523/server| orders_3607/server)
                                                                                                                                                              expansions:
                                                                                                                                                              • unroll
                                                                                                                                                                expr:
                                                                                                                                                                (|Ordinal.<<_129/client|
                                                                                                                                                                  (|Ordinal.Int_114/client|
                                                                                                                                                                    (|count.list_3523/server| (|get.::.1_3504/s…
                                                                                                                                                                expansions:
                                                                                                                                                                • Unsat
                                                                                                                                                                call `rec_fun.remove_imp_orders.remove_imp_orders_side.0 (List.tl orders)` from `rec_fun.remove_imp_orders.remove_imp_orders_side.0 orders`
                                                                                                                                                                original:rec_fun.remove_imp_orders.remove_imp_orders_side.0 orders
                                                                                                                                                                sub:rec_fun.remove_imp_orders.remove_imp_orders_side.0 (List.tl orders)
                                                                                                                                                                original ordinal:Ordinal.Int (_cnt orders)
                                                                                                                                                                sub ordinal:Ordinal.Int (_cnt (List.tl orders))
                                                                                                                                                                path:[not (List.hd orders).o_is_implied && orders <> []]
                                                                                                                                                                proof:
                                                                                                                                                                detailed proof
                                                                                                                                                                ground_instances:2
                                                                                                                                                                definitions:0
                                                                                                                                                                inductions:0
                                                                                                                                                                search_time:
                                                                                                                                                                0.012s
                                                                                                                                                                details:
                                                                                                                                                                Expand
                                                                                                                                                                smt_stats:
                                                                                                                                                                num checks:6
                                                                                                                                                                arith assert lower:19
                                                                                                                                                                arith tableau max rows:10
                                                                                                                                                                arith tableau max columns:27
                                                                                                                                                                arith pivots:18
                                                                                                                                                                rlimit count:41190
                                                                                                                                                                mk clause:39
                                                                                                                                                                datatype occurs check:23
                                                                                                                                                                mk bool var:160
                                                                                                                                                                arith assert upper:10
                                                                                                                                                                datatype splits:26
                                                                                                                                                                decisions:28
                                                                                                                                                                arith row summations:16
                                                                                                                                                                propagations:29
                                                                                                                                                                conflicts:7
                                                                                                                                                                arith fixed eqs:8
                                                                                                                                                                datatype accessor ax:23
                                                                                                                                                                arith conflicts:2
                                                                                                                                                                arith num rows:10
                                                                                                                                                                datatype constructor ax:43
                                                                                                                                                                num allocs:1318213844
                                                                                                                                                                final checks:4
                                                                                                                                                                added eqs:185
                                                                                                                                                                del clause:17
                                                                                                                                                                arith eq adapter:10
                                                                                                                                                                memory:7.770000
                                                                                                                                                                max memory:8.200000
                                                                                                                                                                Expand
                                                                                                                                                                • start[0.012s]
                                                                                                                                                                    let (_x_0 : int) = count.list count.order orders in
                                                                                                                                                                    let (_x_1 : order list) = List.tl orders in
                                                                                                                                                                    let (_x_2 : int) = count.list count.order _x_1 in
                                                                                                                                                                    let (_x_3 : bool) = (List.hd _x_1).o_is_implied in
                                                                                                                                                                    let (_x_4 : bool) = _x_1 <> [] in
                                                                                                                                                                    not (List.hd orders).o_is_implied && orders <> [] && _x_0 >= 0 && _x_2 >= 0
                                                                                                                                                                    ==> not (_x_3 && _x_4) && not (not _x_3 && _x_4)
                                                                                                                                                                        || Ordinal.( << ) (Ordinal.Int _x_2) (Ordinal.Int _x_0)
                                                                                                                                                                • simplify
                                                                                                                                                                  into:
                                                                                                                                                                  let (_x_0 : order list) = List.tl orders in
                                                                                                                                                                  let (_x_1 : int) = count.list count.order _x_0 in
                                                                                                                                                                  let (_x_2 : int) = count.list count.order orders in
                                                                                                                                                                  let (_x_3 : bool) = (List.hd _x_0).o_is_implied in
                                                                                                                                                                  let (_x_4 : bool) = _x_0 <> [] in
                                                                                                                                                                  (Ordinal.( << ) (Ordinal.Int _x_1) (Ordinal.Int _x_2)
                                                                                                                                                                   || not (_x_3 && _x_4) && not (not _x_3 && _x_4))
                                                                                                                                                                  || not
                                                                                                                                                                     (((not (List.hd orders).o_is_implied && orders <> []) && _x_2 >= 0)
                                                                                                                                                                      && _x_1 >= 0)
                                                                                                                                                                  expansions:
                                                                                                                                                                  []
                                                                                                                                                                  rewrite_steps:
                                                                                                                                                                    forward_chaining:
                                                                                                                                                                    • unroll
                                                                                                                                                                      expr:
                                                                                                                                                                      (|count.list_3523/server| orders_3607/server)
                                                                                                                                                                      expansions:
                                                                                                                                                                      • unroll
                                                                                                                                                                        expr:
                                                                                                                                                                        (|Ordinal.<<_129/client|
                                                                                                                                                                          (|Ordinal.Int_114/client|
                                                                                                                                                                            (|count.list_3523/server| (|get.::.1_3504/s…
                                                                                                                                                                        expansions:
                                                                                                                                                                        • Unsat

                                                                                                                                                                        3.4 Implied uncrossing (for single side)

                                                                                                                                                                        In [23]:
                                                                                                                                                                        (* The actual cycle *)
                                                                                                                                                                        let implied_uncross_side (sd : side) (s_id : strategy_id) (s : strategy) (m : market) =
                                                                                                                                                                        
                                                                                                                                                                          (* 0. get the top of the book s*)
                                                                                                                                                                          let book1 = get_book_tops m.out_book1 in
                                                                                                                                                                          let book2 = get_book_tops m.out_book2 in
                                                                                                                                                                          let book3 = get_book_tops m.out_book3 in
                                                                                                                                                                        
                                                                                                                                                                          let books_tops = { book1; book2; book3 } in
                                                                                                                                                                        
                                                                                                                                                                          (* 1. calculate the implied orders that are available right now... *)
                                                                                                                                                                          let imp_order = calc_implied_strat_order s_id s books_tops sd m.curr_time in
                                                                                                                                                                        
                                                                                                                                                                          (* Need to increase the order ID first *)
                                                                                                                                                                          let new_ord_id = m.last_ord_id + 1 in
                                                                                                                                                                        
                                                                                                                                                                          (* 2. insert them into the order book *)
                                                                                                                                                                          let strat_book =
                                                                                                                                                                            begin
                                                                                                                                                                              match s_id with
                                                                                                                                                                              | STRAT1 -> insert_order { imp_order with o_id = new_ord_id } m.s_book1
                                                                                                                                                                              | STRAT2 -> insert_order { imp_order with o_id = new_ord_id } m.s_book2
                                                                                                                                                                            end in
                                                                                                                                                                        
                                                                                                                                                                          (* 3. perform the uncross - get the fills, etc... *)
                                                                                                                                                                          let unc_result = uncross_book strat_book [] 0 in
                                                                                                                                                                        
                                                                                                                                                                          let fq = unc_result.uncrossed_qty in
                                                                                                                                                                        
                                                                                                                                                                          if fq = 0 then
                                                                                                                                                                            (* Since we didn't trade anything, let's just return the original market state *)
                                                                                                                                                                            m
                                                                                                                                                                          else
                                                                                                                                                                        
                                                                                                                                                                          let adjust (mult : int) =
                                                                                                                                                                            let mult = -mult in
                                                                                                                                                                            if sd = BUY then mult else -mult in
                                                                                                                                                                        
                                                                                                                                                                          let adj_mul1 = adjust s.leg1.leg_mult in
                                                                                                                                                                          let adj_mul2 = adjust s.leg2.leg_mult in
                                                                                                                                                                          let adj_mul3 = adjust s.leg3.leg_mult in
                                                                                                                                                                        
                                                                                                                                                                          (* calculate the prices at which outright orders will trade *)
                                                                                                                                                                          let price1 = calc_implied_trade_price adj_mul1 book1 in
                                                                                                                                                                          let price2 = calc_implied_trade_price adj_mul2 book2 in
                                                                                                                                                                          let price3 = calc_implied_trade_price adj_mul3 book3 in
                                                                                                                                                                        
                                                                                                                                                                          (* 4. allocate fills to the outright orders *)
                                                                                                                                                                          let out_book1_res = allocate_implied_fills m.out_book1 (fq * adj_mul1) price1 m.curr_time in
                                                                                                                                                                          let out_book2_res = allocate_implied_fills m.out_book2 (fq * adj_mul2) price2 m.curr_time in
                                                                                                                                                                          let out_book3_res = allocate_implied_fills m.out_book3 (fq * adj_mul3) price3 m.curr_time in
                                                                                                                                                                        
                                                                                                                                                                          (* 5. remove the implied orders - notice that the uncrossed result contains a new book
                                                                                                                                                                            with partial fills *)
                                                                                                                                                                          let m = match s_id with
                                                                                                                                                                          | STRAT1 -> { m with s_book1 = remove_imp_orders unc_result.uncrossed_book }
                                                                                                                                                                          | STRAT2 -> { m with s_book2 = remove_imp_orders unc_result.uncrossed_book } in
                                                                                                                                                                        
                                                                                                                                                                          (* 6. let's now gather all of the fills and turn them into outbound messages *)
                                                                                                                                                                          let new_fill_msgs = create_fill_msgs (unc_result.uncrossed_fills @ out_book1_res.uncrossed_fills
                                                                                                                                                                            @ out_book2_res.uncrossed_fills @ out_book3_res.uncrossed_fills) in
                                                                                                                                                                        
                                                                                                                                                                          { m with
                                                                                                                                                                            outbound_msgs = new_fill_msgs @ m.outbound_msgs
                                                                                                                                                                            ; out_book1 = out_book1_res.uncrossed_book
                                                                                                                                                                            ; out_book2 = out_book2_res.uncrossed_book
                                                                                                                                                                            ; out_book3 = out_book3_res.uncrossed_book
                                                                                                                                                                            ; last_ord_id = new_ord_id }
                                                                                                                                                                        ;;
                                                                                                                                                                        
                                                                                                                                                                        Out[23]:
                                                                                                                                                                        val implied_uncross_side :
                                                                                                                                                                          side -> strategy_id -> strategy -> market -> market = <fun>
                                                                                                                                                                        

                                                                                                                                                                        Let's now experiment with some concrete examples.

                                                                                                                                                                        In [24]:
                                                                                                                                                                        #program;;
                                                                                                                                                                        (* #remove_doc doc_of_market;; *)
                                                                                                                                                                        #logic;;
                                                                                                                                                                        
                                                                                                                                                                        let strat = {
                                                                                                                                                                          time_created = 1;
                                                                                                                                                                          leg1    = { leg_sec_idx = OUT1; leg_mult = 1 }
                                                                                                                                                                          ; leg2  = { leg_sec_idx = OUT2; leg_mult = -2 }
                                                                                                                                                                          ; leg3  = { leg_sec_idx = OUT3; leg_mult = 0 }
                                                                                                                                                                        };;
                                                                                                                                                                        
                                                                                                                                                                        let books = {
                                                                                                                                                                            book1 = { bid_info = Some { li_qty = 500; li_price = 50 } ; ask_info = Some { li_qty = 750 ; li_price = 50 }}
                                                                                                                                                                          ; book2 = { bid_info = Some { li_qty = 200 ; li_price = 60 }; ask_info = Some { li_qty = 500 ; li_price = 70 }}
                                                                                                                                                                          ; book3 = { bid_info = None ; ask_info = None }
                                                                                                                                                                        };;
                                                                                                                                                                        
                                                                                                                                                                        let m = {
                                                                                                                                                                          curr_time = 1
                                                                                                                                                                        
                                                                                                                                                                          ; last_ord_id = 0
                                                                                                                                                                        
                                                                                                                                                                          (* first strategy is 2*x1 - x2 + x3 *)
                                                                                                                                                                          ; strat1 = (make_strat 1 2 (-1) 1)
                                                                                                                                                                          (* second strategy is just the 3rd outright security *)
                                                                                                                                                                          ; strat2 = (make_strat 2 0 1 0)
                                                                                                                                                                        
                                                                                                                                                                          (* outright books *)
                                                                                                                                                                          ; out_book1 = {
                                                                                                                                                                            b_buys = [ (make BUY 500 50 1 (Outright OUT1) 1 false 1) ]
                                                                                                                                                                            ; b_sells = [ (make SELL 750 55 2 (Outright OUT1) 1 false 1) ]
                                                                                                                                                                          }
                                                                                                                                                                        
                                                                                                                                                                          ; out_book2 = {
                                                                                                                                                                            b_buys = [ (make BUY 200 60 3 (Outright OUT1) 1 false 1) ]
                                                                                                                                                                            ; b_sells = [ (make SELL 500 70 4 (Outright OUT1) 1 false 1) ]
                                                                                                                                                                          }
                                                                                                                                                                        
                                                                                                                                                                          ; out_book3 = {
                                                                                                                                                                            b_buys = [ ]
                                                                                                                                                                            ; b_sells = []
                                                                                                                                                                          }
                                                                                                                                                                        
                                                                                                                                                                          (* Strategy books *)
                                                                                                                                                                          ; s_book1 = {
                                                                                                                                                                            b_buys = [
                                                                                                                                                                            ]
                                                                                                                                                                            ; b_sells = [
                                                                                                                                                                              (make SELL 100 (-100) 5 (Strategy STRAT1) 1 false 1)
                                                                                                                                                                            ]
                                                                                                                                                                          }
                                                                                                                                                                          ; s_book2 = empty_book
                                                                                                                                                                        
                                                                                                                                                                          (* Inbound and outbound message queues *)
                                                                                                                                                                          ; inbound_msgs = []
                                                                                                                                                                          ; outbound_msgs = []
                                                                                                                                                                        } in
                                                                                                                                                                        
                                                                                                                                                                        let m' = implied_uncross_side BUY STRAT1 strat m in
                                                                                                                                                                        
                                                                                                                                                                        (*calc_implied_strat_order STRAT1 m.strat1 books BUY 1 *)
                                                                                                                                                                        m'.outbound_msgs
                                                                                                                                                                        
                                                                                                                                                                        Out[24]:
                                                                                                                                                                        val strat : strategy =
                                                                                                                                                                          {time_created = 1; leg1 = {leg_sec_idx = OUT1; leg_mult = 1};
                                                                                                                                                                           leg2 = {leg_sec_idx = OUT2; leg_mult = -2};
                                                                                                                                                                           leg3 = {leg_sec_idx = OUT3; leg_mult = 0}}
                                                                                                                                                                        val books : books_info =
                                                                                                                                                                          {book1 =
                                                                                                                                                                            {bid_info = Some {li_qty = 500; li_price = 50};
                                                                                                                                                                             ask_info = Some {li_qty = 750; li_price = 50}};
                                                                                                                                                                           book2 =
                                                                                                                                                                            {bid_info = Some {li_qty = 200; li_price = 60};
                                                                                                                                                                             ask_info = Some {li_qty = 500; li_price = 70}};
                                                                                                                                                                           book3 = {bid_info = None; ask_info = None}}
                                                                                                                                                                        - : outbound_msg list =
                                                                                                                                                                        [Fill
                                                                                                                                                                          {fill_client_id = 1; fill_qty = 100; fill_price = -95; fill_order_id = 5;
                                                                                                                                                                           fill_order_done = true};
                                                                                                                                                                         Fill
                                                                                                                                                                          {fill_client_id = 1; fill_qty = 100; fill_price = 50; fill_order_id = 1;
                                                                                                                                                                           fill_order_done = true};
                                                                                                                                                                         Fill
                                                                                                                                                                          {fill_client_id = 1; fill_qty = 200; fill_price = 70; fill_order_id = 4;
                                                                                                                                                                           fill_order_done = true}]
                                                                                                                                                                        

                                                                                                                                                                        3.5 Implied uncrossing decomposition

                                                                                                                                                                        In [25]:
                                                                                                                                                                        (* Let's try to decompose the logic of 'implied_uncross_side' - we will put
                                                                                                                                                                           several functions in the basis to focus on the critical aspects of the logic *)
                                                                                                                                                                        #timeout 1000;;
                                                                                                                                                                        
                                                                                                                                                                        let d = Modular_decomp.top "implied_uncross_side"
                                                                                                                                                                                ~basis:["get_book_tops"; "allocate_implied_fills"; "insert_order";
                                                                                                                                                                                "create_fill_msgs"; "calc_implied_strat_order"] ~prune:true [@@program];;
                                                                                                                                                                        
                                                                                                                                                                        Out[25]:
                                                                                                                                                                        val d : Modular_decomp_intf.decomp_ref = <abstr>
                                                                                                                                                                        
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                                                                                                                                                                        decomp of (implied_uncross_side sd, s_id, s, m
                                                                                                                                                                        Reg_idConstraintsInvariant
                                                                                                                                                                        257
                                                                                                                                                                        • (uncross_book
                                                                                                                                                                           (insert_order
                                                                                                                                                                            {calc_implied_strat_order s_id s
                                                                                                                                                                             {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                              book3 = get_book_tops m.out_book3}
                                                                                                                                                                             sd m.curr_time
                                                                                                                                                                            with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                           [] 0).uncrossed_qty
                                                                                                                                                                          = 0
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        m
                                                                                                                                                                        256
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- s.leg1.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- s.leg2.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- s.leg3.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        255
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        254
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- s.leg1.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- s.leg2.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- s.leg3.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        253
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        252
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        251
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        250
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        249
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        248
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- s.leg1.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- s.leg2.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- s.leg3.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        247
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        246
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- s.leg1.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- s.leg2.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- s.leg3.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        245
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        244
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        243
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        242
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        241
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        240
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        239
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        238
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        237
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        236
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- s.leg3.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        235
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_6.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        234
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- s.leg3.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        233
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_6.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        232
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        231
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        230
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        229
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        228
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- s.leg3.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        227
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_6.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        226
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- s.leg3.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        225
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_6.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        224
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- s.leg1.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- s.leg2.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- s.leg3.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        223
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        222
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- s.leg1.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- s.leg2.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- s.leg3.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        221
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        220
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        219
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        218
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        217
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        216
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- s.leg1.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- s.leg2.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- s.leg3.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        215
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        214
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- s.leg1.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- s.leg2.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- s.leg3.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        213
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        212
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        211
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        210
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        209
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        208
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        207
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        206
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        205
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        204
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- s.leg3.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        203
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_6.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        202
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- s.leg3.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        201
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_6.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        200
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        199
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        198
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        197
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        196
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- s.leg3.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        195
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_6.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        194
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- s.leg3.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        193
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_6.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        192
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- (~- s.leg1.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- (~- s.leg2.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- (~- s.leg3.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        191
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        190
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- (~- s.leg1.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- (~- s.leg2.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- (~- s.leg3.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        189
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        188
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        187
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        186
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        185
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        184
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- (~- s.leg1.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- (~- s.leg2.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- (~- s.leg3.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        183
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        182
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- (~- s.leg1.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- (~- s.leg2.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- (~- s.leg3.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        181
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        180
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        179
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        178
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        177
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        176
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        175
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        174
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        173
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        172
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- (~- s.leg3.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        171
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_6.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        170
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- (~- s.leg3.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        169
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_6.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        168
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        167
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        166
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        165
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        164
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- (~- s.leg3.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        163
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_6.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        162
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- (~- s.leg3.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        161
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_6.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        160
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- (~- s.leg1.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- (~- s.leg2.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- (~- s.leg3.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        159
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        158
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- (~- s.leg1.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- (~- s.leg2.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- (~- s.leg3.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        157
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        156
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        155
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        154
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        153
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        152
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- (~- s.leg1.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- (~- s.leg2.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- (~- s.leg3.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        151
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        150
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- (~- s.leg1.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- (~- s.leg2.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- (~- s.leg3.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        149
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        148
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        147
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        146
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        145
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        144
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        143
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        142
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        141
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        140
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- (~- s.leg3.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        139
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_6.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        138
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- (~- s.leg3.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        137
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_6.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        136
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        135
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        134
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        133
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        132
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- (~- s.leg3.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        131
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_6.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        130
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- (~- s.leg3.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        129
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book1)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • s_id = STRAT1
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book1)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_6.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book1 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        128
                                                                                                                                                                        • (uncross_book
                                                                                                                                                                           (insert_order
                                                                                                                                                                            {calc_implied_strat_order s_id s
                                                                                                                                                                             {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                              book3 = get_book_tops m.out_book3}
                                                                                                                                                                             sd m.curr_time
                                                                                                                                                                            with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                           [] 0).uncrossed_qty
                                                                                                                                                                          = 0
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        m
                                                                                                                                                                        127
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- s.leg1.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- s.leg2.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- s.leg3.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        126
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        125
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- s.leg1.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- s.leg2.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- s.leg3.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        124
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        123
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        122
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        121
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        120
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        119
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- s.leg1.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- s.leg2.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- s.leg3.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        118
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        117
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- s.leg1.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- s.leg2.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- s.leg3.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        116
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        115
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        114
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        113
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        112
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        111
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        110
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        109
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        108
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        107
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- s.leg3.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        106
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_6.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        105
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- s.leg3.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        104
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_6.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        103
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        102
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        101
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        100
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        99
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- s.leg3.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        98
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_6.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        97
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- s.leg3.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        96
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- s.leg1.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_6.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        95
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- s.leg1.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- s.leg2.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- s.leg3.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        94
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        93
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- s.leg1.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- s.leg2.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- s.leg3.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        92
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        91
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        90
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        89
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        88
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        87
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- s.leg1.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- s.leg2.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- s.leg3.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        86
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        85
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- s.leg1.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- s.leg2.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- s.leg3.leg_mult) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        84
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        83
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        82
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        81
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        80
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        79
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        78
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        77
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        76
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        75
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- s.leg3.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        74
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_6.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        73
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- s.leg3.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        72
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- s.leg2.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_6.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        71
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        70
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        69
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- s.leg2.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- s.leg3.leg_mult) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        68
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        67
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- s.leg3.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        66
                                                                                                                                                                        • (~- s.leg3.leg_mult) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_6.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        65
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- s.leg3.leg_mult) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        64
                                                                                                                                                                        • not ((~- s.leg3.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- s.leg2.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- s.leg1.leg_mult) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • sd = BUY
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- s.leg1.leg_mult)
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- s.leg2.leg_mult)
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- s.leg3.leg_mult)
                                                                                                                                                                              (Option.get _x_6.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        63
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- (~- s.leg1.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- (~- s.leg2.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- (~- s.leg3.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        62
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        61
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- (~- s.leg1.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- (~- s.leg2.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- (~- s.leg3.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        60
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        59
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        58
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        57
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        56
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        55
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- (~- s.leg1.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- (~- s.leg2.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- (~- s.leg3.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        54
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        53
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- (~- s.leg1.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- (~- s.leg2.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- (~- s.leg3.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        52
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        51
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        50
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        49
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        48
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        47
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        46
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        45
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        44
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        43
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- (~- s.leg3.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        42
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_6.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        41
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- (~- s.leg3.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        40
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_6.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        39
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        38
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        37
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        36
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        35
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- (~- s.leg3.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        34
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_6.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        33
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- (~- s.leg3.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        32
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • (~- (~- s.leg1.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).ask_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_6.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        31
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- (~- s.leg1.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- (~- s.leg2.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- (~- s.leg3.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        30
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        29
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- (~- s.leg1.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- (~- s.leg2.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- (~- s.leg3.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        28
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        27
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        26
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        25
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        24
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        23
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- (~- s.leg1.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- (~- s.leg2.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- (~- s.leg3.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        22
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        21
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : int) = m.curr_time in
                                                                                                                                                                        let (_x_5 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2;
                                                                                                                                                                                 book3 = get_book_tops _x_3}
                                                                                                                                                                                sd _x_4
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_6 : int) = _x_5.uncrossed_qty in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_6 * ~- (~- s.leg1.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_6 * ~- (~- s.leg2.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_6 * ~- (~- s.leg3.leg_mult)) 0 _x_4
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : book) = _x_5.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_7.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_8.uncrossed_book; out_book3 = _x_9.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_10.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_5.uncrossed_fills
                                                                                                                                                                          (List.append _x_7.uncrossed_fills
                                                                                                                                                                           (List.append _x_8.uncrossed_fills _x_9.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        20
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = get_book_tops _x_2; book3 = _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        19
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        18
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        17
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_7 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        16
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_3 : best_bid_ask) = get_book_tops _x_2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = get_book_tops _x_1; book2 = _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_2 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_3.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        15
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        14
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        13
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        12
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        11
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- (~- s.leg3.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        10
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_6.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        9
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- (~- s.leg3.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        8
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • (~- (~- s.leg2.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_6.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        7
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        6
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.ask_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        5
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : int) = m.curr_time in
                                                                                                                                                                        let (_x_6 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = get_book_tops _x_4}
                                                                                                                                                                                sd _x_5
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_7 : int) = _x_6.uncrossed_qty in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_7 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_7 * ~- (~- s.leg2.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_7 * ~- (~- s.leg3.leg_mult)) 0 _x_5
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : book) = _x_6.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_8.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_9.uncrossed_book; out_book3 = _x_10.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_11.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_6.uncrossed_fills
                                                                                                                                                                          (List.append _x_8.uncrossed_fills
                                                                                                                                                                           (List.append _x_9.uncrossed_fills _x_10.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        4
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_5 : best_bid_ask) = get_book_tops _x_4 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = get_book_tops _x_3; book3 = _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_4 (_x_8 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_5.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        3
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- (~- s.leg3.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        2
                                                                                                                                                                        • (~- (~- s.leg3.leg_mult)) > 0
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).ask_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_6.ask_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        1
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : int) = m.curr_time in
                                                                                                                                                                        let (_x_7 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = get_book_tops _x_5} sd _x_6
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_8 : int) = _x_7.uncrossed_qty in
                                                                                                                                                                        let (_x_9 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_8 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_8 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_8 * ~- (~- s.leg3.leg_mult)) 0 _x_6
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : book) = _x_7.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_9.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_10.uncrossed_book; out_book3 = _x_11.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_12.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_7.uncrossed_fills
                                                                                                                                                                          (List.append _x_9.uncrossed_fills
                                                                                                                                                                           (List.append _x_10.uncrossed_fills _x_11.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}
                                                                                                                                                                        0
                                                                                                                                                                        • not ((~- (~- s.leg3.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book3).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg2.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book2).bid_info)
                                                                                                                                                                        • not ((~- (~- s.leg1.leg_mult)) > 0)
                                                                                                                                                                        • not Is_a(None, (get_book_tops m.out_book1).bid_info)
                                                                                                                                                                        • not (sd = BUY)
                                                                                                                                                                        • not
                                                                                                                                                                          ((uncross_book
                                                                                                                                                                            (insert_order
                                                                                                                                                                             {calc_implied_strat_order s_id s
                                                                                                                                                                              {book1 = get_book_tops m.out_book1; book2 = get_book_tops m.out_book2;
                                                                                                                                                                               book3 = get_book_tops m.out_book3}
                                                                                                                                                                              sd m.curr_time
                                                                                                                                                                             with o_id = m.last_ord_id + 1} m.s_book2)
                                                                                                                                                                            [] 0).uncrossed_qty
                                                                                                                                                                           = 0)
                                                                                                                                                                        • not (s_id = STRAT1)
                                                                                                                                                                        let (_x_0 : int) = m.last_ord_id + 1 in
                                                                                                                                                                        let (_x_1 : book) = m.out_book1 in
                                                                                                                                                                        let (_x_2 : best_bid_ask) = get_book_tops _x_1 in
                                                                                                                                                                        let (_x_3 : book) = m.out_book2 in
                                                                                                                                                                        let (_x_4 : best_bid_ask) = get_book_tops _x_3 in
                                                                                                                                                                        let (_x_5 : book) = m.out_book3 in
                                                                                                                                                                        let (_x_6 : best_bid_ask) = get_book_tops _x_5 in
                                                                                                                                                                        let (_x_7 : int) = m.curr_time in
                                                                                                                                                                        let (_x_8 : uncross_res)
                                                                                                                                                                            = uncross_book
                                                                                                                                                                              (insert_order
                                                                                                                                                                               {calc_implied_strat_order s_id s
                                                                                                                                                                                {book1 = _x_2; book2 = _x_4; book3 = _x_6} sd _x_7
                                                                                                                                                                               with o_id = _x_0} m.s_book2)
                                                                                                                                                                              [] 0
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_9 : int) = _x_8.uncrossed_qty in
                                                                                                                                                                        let (_x_10 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_1 (_x_9 * ~- (~- s.leg1.leg_mult))
                                                                                                                                                                              (Option.get _x_2.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_11 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_3 (_x_9 * ~- (~- s.leg2.leg_mult))
                                                                                                                                                                              (Option.get _x_4.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_12 : uncross_res)
                                                                                                                                                                            = allocate_implied_fills _x_5 (_x_9 * ~- (~- s.leg3.leg_mult))
                                                                                                                                                                              (Option.get _x_6.bid_info).li_price _x_7
                                                                                                                                                                        in
                                                                                                                                                                        let (_x_13 : book) = _x_8.uncrossed_book in
                                                                                                                                                                        {m with
                                                                                                                                                                        last_ord_id = _x_0; out_book1 = _x_10.uncrossed_book;
                                                                                                                                                                        out_book2 = _x_11.uncrossed_book; out_book3 = _x_12.uncrossed_book;
                                                                                                                                                                        s_book2 =
                                                                                                                                                                        {b_buys = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_buys;
                                                                                                                                                                         b_sells = rec_fun.remove_imp_orders.remove_imp_orders_side.0 _x_13.b_sells};
                                                                                                                                                                        outbound_msgs =
                                                                                                                                                                        List.append
                                                                                                                                                                        (create_fill_msgs
                                                                                                                                                                         (List.append _x_8.uncrossed_fills
                                                                                                                                                                          (List.append _x_10.uncrossed_fills
                                                                                                                                                                           (List.append _x_11.uncrossed_fills _x_12.uncrossed_fills))))
                                                                                                                                                                        m.outbound_msgs}

                                                                                                                                                                        3.6 Full book implied uncross

                                                                                                                                                                        In [26]:
                                                                                                                                                                        (* The implied uncross algorithm *)
                                                                                                                                                                        let implied_uncross_books (s : strategy_id) (m : market) =
                                                                                                                                                                          if s = STRAT1 then
                                                                                                                                                                            begin
                                                                                                                                                                              let m = implied_uncross_side BUY s m.strat1 m in
                                                                                                                                                                              implied_uncross_side SELL s m.strat1 m
                                                                                                                                                                            end
                                                                                                                                                                          else
                                                                                                                                                                            begin
                                                                                                                                                                              let m = implied_uncross_side BUY s m.strat2 m in
                                                                                                                                                                              implied_uncross_side SELL s m.strat2 m
                                                                                                                                                                            end
                                                                                                                                                                        
                                                                                                                                                                        Out[26]:
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
                                                                                                                                                                        val implied_uncross_books :
                                                                                                                                                                          strategy_id ->
                                                                                                                                                                          market ->
                                                                                                                                                                          market =
                                                                                                                                                                          <fun>
                                                                                                                                                                        

                                                                                                                                                                        4. Global state transition functions functions

                                                                                                                                                                        4.1 Insert order

                                                                                                                                                                        In [27]:
                                                                                                                                                                        (* Perform operation to create and insert a new order *)
                                                                                                                                                                        let run_new_order (m : market) (no : new_ord_msg) =
                                                                                                                                                                          let new_o_id = m.last_ord_id + 1 in
                                                                                                                                                                          let o = {
                                                                                                                                                                            o_id = new_o_id
                                                                                                                                                                            ; o_qty = no.no_qty
                                                                                                                                                                            ; o_price = no.no_price
                                                                                                                                                                            ; o_time = m.curr_time
                                                                                                                                                                            ; o_side = no.no_side
                                                                                                                                                                            ; o_client_id = no.no_client_id
                                                                                                                                                                            ; o_inst = no.no_inst_type
                                                                                                                                                                            ; o_is_implied = false (* these are always outright *)
                                                                                                                                                                          } in
                                                                                                                                                                        
                                                                                                                                                                          let m' =
                                                                                                                                                                            match no.no_inst_type with
                                                                                                                                                                            | Strategy STRAT1 -> { m with s_book1 = (insert_order o m.s_book1) }
                                                                                                                                                                            | Strategy STRAT2 -> { m with s_book2 = (insert_order o m.s_book2) }
                                                                                                                                                                            | Outright OUT1   -> { m with out_book1 = (insert_order o m.out_book1) }
                                                                                                                                                                            | Outright OUT2   -> { m with out_book2 = (insert_order o m.out_book2) }
                                                                                                                                                                            | Outright OUT3   -> { m with out_book3 = (insert_order o m.out_book3) }
                                                                                                                                                                        
                                                                                                                                                                          in { m' with last_ord_id = new_o_id }
                                                                                                                                                                        
                                                                                                                                                                        Out[27]:
                                                                                                                                                                        val run_new_order : market -> new_ord_msg -> market = <fun>
                                                                                                                                                                        

                                                                                                                                                                        4.2 Cancel order

                                                                                                                                                                        In [28]:
                                                                                                                                                                        (* Cancel an order *)
                                                                                                                                                                        let run_cancel_order (m : market) (co : cancel_ord_msg) =
                                                                                                                                                                          match co.co_instrument with
                                                                                                                                                                          | Strategy STRAT1 -> {m with s_book1 = (cancel_ord_book co m.s_book1)}
                                                                                                                                                                          | Strategy STRAT2 -> {m with s_book2 = (cancel_ord_book co m.s_book2)}
                                                                                                                                                                          | Outright OUT1 -> {m with out_book1 = (cancel_ord_book co m.out_book1)}
                                                                                                                                                                          | Outright OUT2 -> {m with out_book2 = (cancel_ord_book co m.out_book2)}
                                                                                                                                                                          | Outright OUT3 -> {m with out_book3 = (cancel_ord_book co m.out_book3)}
                                                                                                                                                                        
                                                                                                                                                                        Out[28]:
                                                                                                                                                                        val run_cancel_order : market -> cancel_ord_msg -> market = <fun>
                                                                                                                                                                        

                                                                                                                                                                        4.3 Run implied uncross

                                                                                                                                                                        In [29]:
                                                                                                                                                                        (* Perform opreation to execute new fill *)
                                                                                                                                                                        let run_implied_uncross (m : market) =
                                                                                                                                                                        
                                                                                                                                                                          (* Do the typical uncross between the strategies *)
                                                                                                                                                                          let sbook1_res = uncross_book m.s_book1 [] 0 in
                                                                                                                                                                          let sbook2_res = uncross_book m.s_book2 [] 0 in
                                                                                                                                                                        
                                                                                                                                                                          (*  outright books  *)
                                                                                                                                                                          let obook1_res = uncross_book m.out_book1 [] 0 in
                                                                                                                                                                          let obook2_res = uncross_book m.out_book2 [] 0 in
                                                                                                                                                                          let obook3_res = uncross_book m.out_book3 [] 0 in
                                                                                                                                                                        
                                                                                                                                                                          (* Now let's update the entire market state *)
                                                                                                                                                                          let m' = {
                                                                                                                                                                            m with
                                                                                                                                                                              s_book1 = sbook1_res.uncrossed_book
                                                                                                                                                                              ; s_book2 = sbook2_res.uncrossed_book
                                                                                                                                                                        
                                                                                                                                                                              ; out_book1 = obook1_res.uncrossed_book
                                                                                                                                                                              ; out_book2 = obook2_res.uncrossed_book
                                                                                                                                                                              ; out_book3 = obook3_res.uncrossed_book
                                                                                                                                                                        
                                                                                                                                                                              ; outbound_msgs =
                                                                                                                                                                                  create_fill_msgs (
                                                                                                                                                                                    sbook1_res.uncrossed_fills @
                                                                                                                                                                                    sbook2_res.uncrossed_fills @
                                                                                                                                                                                    obook1_res.uncrossed_fills @
                                                                                                                                                                                    obook2_res.uncrossed_fills @
                                                                                                                                                                                    obook3_res.uncrossed_fills )
                                                                                                                                                                          } in
                                                                                                                                                                        
                                                                                                                                                                          (* Now we should be done with uncrossing the books the old way,
                                                                                                                                                                            let's now create implied orders here.
                                                                                                                                                                            Notice that we're using the priority function to determine which
                                                                                                                                                                            strategy order book runs first... *)
                                                                                                                                                                          if priority_strat m'.strat1 m'.strat2 then
                                                                                                                                                                            let m' = implied_uncross_books STRAT1 m' in
                                                                                                                                                                            (implied_uncross_books STRAT2 m')
                                                                                                                                                                          else
                                                                                                                                                                            let m' = implied_uncross_books STRAT2 m' in
                                                                                                                                                                            (implied_uncross_books STRAT1 m')
                                                                                                                                                                        
                                                                                                                                                                        ;;
                                                                                                                                                                        
                                                                                                                                                                        Out[29]:
                                                                                                                                                                        val run_implied_uncross : market -> market = <fun>
                                                                                                                                                                        
                                                                                                                                                                        In [30]:
                                                                                                                                                                        (* Now is a time for a full market uncross. *)
                                                                                                                                                                        
                                                                                                                                                                        let m2 = {
                                                                                                                                                                          curr_time = 1
                                                                                                                                                                        
                                                                                                                                                                          ; last_ord_id = 0
                                                                                                                                                                        
                                                                                                                                                                          (* In a larger model, we can *)
                                                                                                                                                                          (* first strategy is 2*x1 - x2 + x3 *)
                                                                                                                                                                          ; strat1 = (make_strat 1 2 (-1) 1)
                                                                                                                                                                          (* second strategy is just the 3rd outright security *)
                                                                                                                                                                          ; strat2 = (make_strat 2 0 1 0)
                                                                                                                                                                        
                                                                                                                                                                          (* outright books *)
                                                                                                                                                                          ; out_book1 = {
                                                                                                                                                                            b_buys = [ (make BUY 500 50 1 (Outright OUT1) 1 false 1) ]
                                                                                                                                                                            ; b_sells = [ (make SELL 750 55 2 (Outright OUT1) 1 false 1) ]
                                                                                                                                                                          }
                                                                                                                                                                        
                                                                                                                                                                          ; out_book2 = {
                                                                                                                                                                            b_buys = [ (make BUY 200 60 3 (Outright OUT1) 1 false 1) ]
                                                                                                                                                                            ; b_sells = [ (make SELL 500 70 4 (Outright OUT1) 1 false 1) ]
                                                                                                                                                                          }
                                                                                                                                                                          ; out_book3 = empty_book
                                                                                                                                                                        
                                                                                                                                                                          (* Strategy books *)
                                                                                                                                                                          ; s_book1 = empty_book
                                                                                                                                                                          ; s_book2 = empty_book
                                                                                                                                                                        
                                                                                                                                                                          (* Inbound and outbound message queues *)
                                                                                                                                                                          ; inbound_msgs = []
                                                                                                                                                                          ; outbound_msgs = []
                                                                                                                                                                        }
                                                                                                                                                                        
                                                                                                                                                                        Out[30]:
                                                                                                                                                                        val m2 : market = <document>
                                                                                                                                                                        
                                                                                                                                                                        Strategy 1
                                                                                                                                                                        BuysSells
                                                                                                                                                                        Strategy 2
                                                                                                                                                                        BuysSells
                                                                                                                                                                        Book 1
                                                                                                                                                                        BuysSells
                                                                                                                                                                        50 (500)
                                                                                                                                                                        55 (750)
                                                                                                                                                                        Book 2
                                                                                                                                                                        BuysSells
                                                                                                                                                                        60 (200)
                                                                                                                                                                        70 (500)
                                                                                                                                                                        Book 3
                                                                                                                                                                        BuysSells

                                                                                                                                                                        4.4 Main transition function

                                                                                                                                                                        This is where we put it all together. Note that this is a 'shortened' version of the full model - in a complete model we would allow new strategies to be created, more intricate state transitions (e.g. auctions) and much more.

                                                                                                                                                                        In [31]:
                                                                                                                                                                        (* The main state transition loop of the exchange state *)
                                                                                                                                                                        let step (m : market) (msg : inbound_msg) =
                                                                                                                                                                         begin
                                                                                                                                                                          match msg with
                                                                                                                                                                          | NewOrder no -> run_new_order m no
                                                                                                                                                                          | CancelOrder co -> run_cancel_order m co
                                                                                                                                                                          | ImpliedUncross -> run_implied_uncross m
                                                                                                                                                                         end
                                                                                                                                                                        ;;
                                                                                                                                                                        
                                                                                                                                                                        let rec run (m: market) (msgs : inbound_msg list) =
                                                                                                                                                                         match msgs with
                                                                                                                                                                         | [] -> []
                                                                                                                                                                         | x::xs -> let m' = step m x in
                                                                                                                                                                           m' :: (run m' xs)
                                                                                                                                                                        ;;
                                                                                                                                                                        
                                                                                                                                                                        Out[31]:
                                                                                                                                                                        val step : market -> inbound_msg -> market = <fun>
                                                                                                                                                                        val run : market -> inbound_msg list -> market list = <fun>
                                                                                                                                                                        
                                                                                                                                                                        termination proof

                                                                                                                                                                        Termination proof

                                                                                                                                                                        call `run (step m (List.hd msgs)) (List.tl msgs)` from `run m msgs`
                                                                                                                                                                        original:run m msgs
                                                                                                                                                                        sub:run (step m (List.hd msgs)) (List.tl msgs)
                                                                                                                                                                        original ordinal:Ordinal.Int (_cnt msgs)
                                                                                                                                                                        sub ordinal:Ordinal.Int (_cnt (List.tl msgs))
                                                                                                                                                                        path:[msgs <> []]
                                                                                                                                                                        proof:
                                                                                                                                                                        detailed proof
                                                                                                                                                                        ground_instances:3
                                                                                                                                                                        definitions:0
                                                                                                                                                                        inductions:0
                                                                                                                                                                        search_time:
                                                                                                                                                                        0.018s
                                                                                                                                                                        details:
                                                                                                                                                                        Expand
                                                                                                                                                                        smt_stats:
                                                                                                                                                                        num checks:8
                                                                                                                                                                        arith assert lower:36
                                                                                                                                                                        arith tableau max rows:17
                                                                                                                                                                        arith tableau max columns:53
                                                                                                                                                                        arith pivots:28
                                                                                                                                                                        rlimit count:604954230
                                                                                                                                                                        mk clause:70
                                                                                                                                                                        datatype occurs check:19
                                                                                                                                                                        mk bool var:263
                                                                                                                                                                        arith assert upper:21
                                                                                                                                                                        datatype splits:43
                                                                                                                                                                        decisions:68
                                                                                                                                                                        arith row summations:55
                                                                                                                                                                        propagations:66
                                                                                                                                                                        conflicts:11
                                                                                                                                                                        arith fixed eqs:18
                                                                                                                                                                        datatype accessor ax:33
                                                                                                                                                                        arith conflicts:2
                                                                                                                                                                        arith num rows:17
                                                                                                                                                                        datatype constructor ax:54
                                                                                                                                                                        final checks:4
                                                                                                                                                                        added eqs:235
                                                                                                                                                                        del clause:19
                                                                                                                                                                        arith eq adapter:21
                                                                                                                                                                        memory:16.010000
                                                                                                                                                                        max memory:53.070000
                                                                                                                                                                        num allocs:5222097433633.000000
                                                                                                                                                                        Expand
                                                                                                                                                                        • start[0.018s]
                                                                                                                                                                            let (_x_0 : int) = count.list count.inbound_msg msgs in
                                                                                                                                                                            let (_x_1 : inbound_msg list) = List.tl msgs in
                                                                                                                                                                            let (_x_2 : int) = count.list count.inbound_msg _x_1 in
                                                                                                                                                                            msgs <> [] && _x_0 >= 0 && _x_2 >= 0
                                                                                                                                                                            ==> not (_x_1 <> [])
                                                                                                                                                                                || Ordinal.( << ) (Ordinal.Int _x_2) (Ordinal.Int _x_0)
                                                                                                                                                                        • simplify
                                                                                                                                                                          into:
                                                                                                                                                                          let (_x_0 : int) = count.list count.inbound_msg msgs in
                                                                                                                                                                          let (_x_1 : inbound_msg list) = List.tl msgs in
                                                                                                                                                                          let (_x_2 : int) = count.list count.inbound_msg _x_1 in
                                                                                                                                                                          (not ((msgs <> [] && _x_0 >= 0) && _x_2 >= 0)
                                                                                                                                                                           || Ordinal.( << ) (Ordinal.Int _x_2) (Ordinal.Int _x_0))
                                                                                                                                                                          || not (_x_1 <> [])
                                                                                                                                                                          expansions:
                                                                                                                                                                          []
                                                                                                                                                                          rewrite_steps:
                                                                                                                                                                            forward_chaining:
                                                                                                                                                                            • unroll
                                                                                                                                                                              expr:
                                                                                                                                                                              (|Ordinal.<<_129/client|
                                                                                                                                                                                (|Ordinal.Int_114/client|
                                                                                                                                                                                  (|count.list_11016/server| (|get.::.1_3749/…
                                                                                                                                                                              expansions:
                                                                                                                                                                              • unroll
                                                                                                                                                                                expr:
                                                                                                                                                                                (|count.list_11016/server| (|get.::.1_3749/server| msgs_11004/server))
                                                                                                                                                                                expansions:
                                                                                                                                                                                • unroll
                                                                                                                                                                                  expr:
                                                                                                                                                                                  (|count.list_11016/server| msgs_11004/server)
                                                                                                                                                                                  expansions:
                                                                                                                                                                                  • Unsat

                                                                                                                                                                                  5. Complete examples

                                                                                                                                                                                  Now let's have a complete example that shows how to insert and then trade outright and strategy orders

                                                                                                                                                                                  In [32]:
                                                                                                                                                                                  let m4 = {
                                                                                                                                                                                  
                                                                                                                                                                                    curr_time = 1
                                                                                                                                                                                  
                                                                                                                                                                                    ; last_ord_id = 0
                                                                                                                                                                                  
                                                                                                                                                                                    (* first strategy is 2*x1 - x2 + x3 *)
                                                                                                                                                                                    ; strat1 = (make_strat 1 2 (-1) 1)
                                                                                                                                                                                    (* second strategy is just the 3rd outright security *)
                                                                                                                                                                                    ; strat2 = (make_strat 2 0 0 1)
                                                                                                                                                                                  
                                                                                                                                                                                    (* outright books *)
                                                                                                                                                                                    ; out_book1 = empty_book
                                                                                                                                                                                    ; out_book2 = empty_book
                                                                                                                                                                                    ; out_book3 = empty_book
                                                                                                                                                                                  
                                                                                                                                                                                    (* Strategy books *)
                                                                                                                                                                                    ; s_book1 = empty_book
                                                                                                                                                                                    ; s_book2 = empty_book
                                                                                                                                                                                  
                                                                                                                                                                                    (* Inbound and outbound message queues *)
                                                                                                                                                                                    ; inbound_msgs = []
                                                                                                                                                                                    ; outbound_msgs = []
                                                                                                                                                                                  } in
                                                                                                                                                                                  
                                                                                                                                                                                  (* Helper function signature is: 'cid inst qty sd p'*)
                                                                                                                                                                                  let new_ord1_msg = make_no_msg 1 (Outright OUT1) 100 SELL 75 in
                                                                                                                                                                                  let new_ord2_msg = make_no_msg 2 (Outright OUT1) 75 BUY 80 in
                                                                                                                                                                                  let new_ord3_msg = make_no_msg 3 (Outright OUT1) 125 SELL 50 in
                                                                                                                                                                                  
                                                                                                                                                                                  run m4 [new_ord1_msg; new_ord2_msg; new_ord3_msg];;
                                                                                                                                                                                  
                                                                                                                                                                                  Out[32]:
                                                                                                                                                                                  - : market list = [<document>;<document>;<document>]
                                                                                                                                                                                  
                                                                                                                                                                                  Strategy 1
                                                                                                                                                                                  BuysSells
                                                                                                                                                                                  Strategy 2
                                                                                                                                                                                  BuysSells
                                                                                                                                                                                  Book 1
                                                                                                                                                                                  BuysSells
                                                                                                                                                                                  -
                                                                                                                                                                                  75 (100)
                                                                                                                                                                                  Book 2
                                                                                                                                                                                  BuysSells
                                                                                                                                                                                  Book 3
                                                                                                                                                                                  BuysSells
                                                                                                                                                                                  Strategy 1
                                                                                                                                                                                  BuysSells
                                                                                                                                                                                  Strategy 2
                                                                                                                                                                                  BuysSells
                                                                                                                                                                                  Book 1
                                                                                                                                                                                  BuysSells
                                                                                                                                                                                  80 (75)
                                                                                                                                                                                  75 (100)
                                                                                                                                                                                  Book 2
                                                                                                                                                                                  BuysSells
                                                                                                                                                                                  Book 3
                                                                                                                                                                                  BuysSells
                                                                                                                                                                                  Strategy 1
                                                                                                                                                                                  BuysSells
                                                                                                                                                                                  Strategy 2
                                                                                                                                                                                  BuysSells
                                                                                                                                                                                  Book 1
                                                                                                                                                                                  BuysSells
                                                                                                                                                                                  80 (75)
                                                                                                                                                                                  50 (125)
                                                                                                                                                                                  -
                                                                                                                                                                                  75 (100)
                                                                                                                                                                                  Book 2
                                                                                                                                                                                  BuysSells
                                                                                                                                                                                  Book 3
                                                                                                                                                                                  BuysSells